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Write the first five terms of the geometric sequence defined recursively. Find the common ratio and...
please simply. for a1,a2,a3,a4, & a5 Write the first five terms of the sequence defined recursively. Express the terms as simplified fractions when applicable. 9,- -4,a,=2a 1.5 a 1 04 as-
Given the geometric sequence: 117 1053 Q1 13, a2 = - 2 a3 3 8 64 find a formula for the nth term: an = Preview Points possible: 1 This is attempt 1 of 1. Submit
Find the sum of the first 28 terms of a geometric sequence whose third term is a3 = 6 and whose eighth term is a8 = 15.62.
Write a formula for the nth term of the following geometric sequence '3 9' 27 Find a formula for the nth term of the geometric sequence. n- 1
33. Find the fifth term and the nth term of the geometric sequence whose initial term a1 = -2 and the common ratio is r=4.
Consider the sequence {an} defined recursively as: a0 = a1 = a2 = 1, an = an−1+an−2+an−3 for any integer n ≥ 3. (a) Find the values of a3, a4, a5, a6. (b) Use strong induction to prove an ≤ 3n−2 for any integer n ≥ 3. Clearly indicate what is the base step and inductive step, and indicate what is the inductive hypothesis in your proof.
Find the first four terms and the 100th term of the sequence whose nth term is given. 1 an 2n + 5 = a1 az = a3 = a4 II a 100
7. Find the next two terms of each geometric sequence. a.-3.9. - 27. 81.... b. I. -1.1.-1.1. - 1.... 8. Find the first five terms of the geometric sequence for which ,- -2 and 3. 9. Find , for the geometric sequence 60, 30, 15.... 10. Write an equation for the nth term of the geometric sequence 4, 8, 16,... 11. The second term in a geometric sequence is -2 and the third term is-6. Find an equation for the...
(10 points) Find the 1st through 4th terms of the recursively-defined sequence an = an-1 + 1; a1 = -1 Separate terms by commas, in order: