2. In an arithmetic sequence, the first term is –5 , while the fifth term is 27. (a) Find the common difference d. (b) Find the eleventh term of the sequence. (c) Find the sum of the first eleven terms. (d) If the E!" term is 155, find the value of n. 3. The 5th term of an arithmetic sequence is 30, while the 13th term is 70. (a) Find the ...
Question 3 (***+) Three numbers, A, B, C in that order, are in geometric progression with common ratio r. Given further that A, 2B, C in that order are in arithmetic progression, determine the possible values of r. MP2-X , r = ±2 3 Question 4 (***+) An arithmetic series has common difference 2.
5. An arithmetic sequence has a 10 th term of 17 and a 14 term of 30. Find the common difference. 6. An arithmetic sequence has a 7th term of 54 and a 13th term of 94. Find the common difference. 7. Find the sum of the positive terms of the arithmetic sequence ô ñ, ô, ó í, … 1 8. A theater has 32 rows of seats.
Attempt every question. 4. Check your answers seem right. 5. Always show your workings Revision for this topic. 1.!Here are the first four terms of a number sequence.!!8!14!20!26!(a) Write down the next term of the number sequence. ...
Complete the table for the four sequences A, B, C and D. nth term Sequence The sum of the first n terms of a sequence is Next term 310= 0. (i) (iii) When the sum of the first n terms is 155, show that 3n2 + n — Solve 3n2+ n — 310 = 0. Complete the statement. The sum of the first terms of this sequence is 155.
Sequences and Series www.naikermaths.com 5. The fourth term of a geometric series is 10 and the seventh term of the series is 80. For this series, find (a) the common ratio, (2) (b) the first term, (2) (c) the sum of the first 20 terms, giving your answer to the nearest whole number. (2) Jan 08 Q2 6.
2. Find the 10th term of the sequence whose first four terms are 8, 4, 0, –4. 3. Find the value of x and y in the arithmetic sequence {5, x, 13, y, . . . }. 4. An arithmetic sequence has 12 as its first term and a common difference of –5. Find its 12th term. 5. An arithmetic sequence has –20 as its first term and a common difference of ...
Precalculus Sequences & Series Test Practice Name_____ Sequence Formulas: a n = a 1 + d (n – 1) 1 1 n a a r n Series Formulas : 1 (1 ) 1 n n ar S r Determine if the sequence is arithmetic or geometric. Find the common difference or the common ratio and write the equation for the nth term. 1) 35, 32, 29, 26, …
3.3 The first and second terms of an arithmetic sequence are 10 and 6 respectively. 3.3.1 Calculate the 11𝑡ℎ term of the sequence. 3.3.2 The sum of the first n terms of this sequence is –560. Calculate n. 3.4 Given the geometric sequence: 27 ; 9 ; 3 … 3.4.1 Determine a formula for T n , the 𝑛𝑡ℎ term of the sequence.
Questions labelled with an asterisk (*) are ones where the quality of your written communication will be assessed – you should take particular care on these questions with your spelling, punctuation and grammar, as well as the clarity of expression. Advice Read each question carefully before you start to answer it. Keep an eye on the time ...
For each sequence nd a 10. (a) a n = 1 n2 + n+ 1 (b) a 1 = 1;a 2 = 2, a n = a n 1 + 2a n 2 for n 3. (c) a n = 325 14n (d) a n = 2n 1 3n 4. For each sequence, nd the rst seven terms. (a) a 1 = 2;a 2 = 5, a n = 2a n 1 3a n 2 for n 3. (b) a n = ( n1) +1n+ 3 2n (c) a n = ( n1) 3n 2 (d) a n = 36 + 12n 5. For each series, nd S
Th e fi ft h term of an arithmetic sequence is three times larger than the second term. Find the ratio: commondifference firstterm [6 marks] 5. A geometric sequence and an arithmetic sequence both start with a fi rst term of 1. Th e third term of the arithmetic sequence is the same as the second term of the geometric sequence.
18.3 (a) Hint: show that the sequence is bounded above by 2. 18.3 (b) Hint: show that the sequence is bounded below by 1. 18.3 (c) Hint: show that the sequence is bounded above by 3. 18.3 (d) Hint: show that the sequence is bounded above by 3. ===== Series. Definition. Let F a n k∞ n=1 be a sequence. We define another sequence F s n k∞ n ...
Sequences and Series Test Review Multiple Choice - Identify the letter of the choice that best completes the statement or answers the question. Write letter answers in the blank. Write an equation for the nth term of the given arithmetic sequence. ____ 1. 6, 11, 16, 21, ... A) a n = 5n − 1 B) a n = 6n − 1 C) a n = 5n + 1 D) a n = 11 n − 5 ...
Here are the first five terms of an arithmetic sequence. 7 13 19 25 31 (a) Find an expression, in terms of n, for the nth term of this sequence. ..... (2) The nth term of a different sequence is 8 − 6n (b) Is −58 a term of this sequence? You must show how you get your answer. (2) (Total for question = 4 marks)
Sequences and Series Test Review Name: Class: Date: 0 Write letter Write an equation for the nth term of the given arithmetic sequence. D) an=11n-5 D) 399 J. 6, ll. 16, 21 2. -5.-12, -26 =-7n+2 B) C) an=-7n-12 Find the indicated term of the given arithmetic sequence. 3. a„for360, 356, 352, . ) 308 C) 18 A) 412 4. a, = 95, d = A) 172 B) 304 12
A PDF document with 20 questions on sequences for GCSE (1 – 9) students. The questions involve finding terms, rules, patterns, expressions and diagrams of different types of sequences.
Sequence and Series Questions and Answers PDF for free download for SSC CGL, CHSL Competitive exams. Previous year exam fully solved MCQs with detail explanation for preparation of Mathematics for upcoming examinations. What is a Sequence and Series? a) A series of events occurring in chronological order
convergence of sequences in this section. We will also give many of the basic facts and properties we’ll need as we work with sequences. More on Sequences – In this section we will continued examining sequences. We will determine if a sequence in an increasing sequence or a decreasing sequence and hence if it is a monotonic sequence.
