Step Use the geometric sequence to help find a recursive rule and an explicit rule for any geometric sequence. For the general rules, the values of n are consecutive integers starting with 1. 18, 90, 450, 2250, 11250,... The recursive rule for the geometric sequence is f(1) = and f(n) = f (n – 1)· for n 2 2. The recursive rule for any geometric sequence, given f(1), is f(n) = f(n – 1) n2 2. The explicit rule for the geometric sequence is f(n)= n-1 The explicit rule for any geometric sequence is f(n)= f( n-1 for

Q: I need help ()))((((

A:

Q: N + 1 aN N° + 1 is monotonic. Show that the sequence

A:

Q: Find the first five terms of these recursively-defined sequences: 9. a1 = 2, an = 2an-1 - 5

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: erms a1, a2, 43,., IS deni an = 2", for n 2 1. The sequence B, with terms b1, b2, b3, .., is defined…

A: Given :-  The sequence A , with terms a1 , a2 , a3 , ..... are defined by  an = 2n for n ≥ 1. The…

Q: Find the first 10 terms of the sequence an Its 9th term is Its 10th term is 1 an-1 and a₁ = 18.

A:

Q: Let (an) be the sequence defined by the recursive relation a₁ = 3an-1 + 1, with initial term a = 1.…

A:

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.