Sequences & Series Questions and Answers

Classify the sequence as arithmetic, geometric, Fibonacci, or none of these and supply the next term. 2, 7, 9, 16, ... A Arithmetic and a 5= 18 B Geometric and a 5 = 112 C None and a 5 = 93 D Fibonacci and a 5 = 25

Select the correct answer. Emanuel is writing a novel. He writes 10 pages on the first day. Every day after that, Emanuel writes 16 more pages. Let y represent the total number of pages Emanuel writes after x days. Which type of sequence does this situation represent? A.The situation represents an arithmetic sequence because the successive y-values have a common difference of 16. B.The situation represents a geomètric séquence because the successive y-values have a common ratio of 16. C.The situation represents a geometric sequence because the successive y-values have a common ratio of 6. D.The situation represents an arithmetic sequence because the successive y-values have a common difference of 6.

Write a recursive formula and an explicit formula in slope-intercept form that model the arithmetic sequence 1, 5, 9, 13,... Which is the correct recursive formula that models the given arithmetic sequence? O A. A(1)= 1, A(n)= A(n-1)-4 OB. A(1)=1, A(n) = A(n-1)-3 OC. A(1)= 1, A(n)= A(n-1)+4 O D. A(1)= 1, A(n) = A(n-1)+3

Determine whether the sequence is arithmetic. 87, 81, 75, 69, ... The sequence van arithmetic sequence. If the sequence is arithmetic, find the common difference. If it is not arithmetic, leave blank. The common difference is

If two terms of an arithmetic sequence are a₁₁ = 26 and a15= -10, what is a28? -226 -217 -127 -20

If T₁, T2,...,100 are the distinct terms in harmonic progression and T6, T10, T18 are in Arithmetic progression. If Tp, T12, Tq are in geometric progression, then maximum value of q is (p < 12 < q) (A) 30 (B) 48 (C) 66 (D) 75