Question

Question Help The sum, Sp, of the firet n torms of an anthmotic sequenoe ia gvan by S, The sum, Sn, of the first n terms of an arithmetic sequence is ).in which a, is the fra tom ad , he nth tom, The sum S., f to f geometric sequenoe ia gven by $, 1 (1 terms of a geometric sequence is given by Sn , in which a, is the first term and r is the common ratio (r# 1). Determine whether the following sequence is arithmetic or geometric. Then use the appropriate formula to find S10,the sum of the first ten terms 2, 4,6,8 Determine whether the sequence is arithmetic or geometric. Choose the correct answer below. Arithmetic O Geometric

Answer 1

This is a arithmetic sequence with common difference 2 and first term 2.nth term of a arithmetic sequence with first term a and common differences d is

a_n=a+(n-1)d

10th term a₁₀=a+(10-1)d=a+9d

a_{10 for} given sequence =2+9*2=20

Number of term n=10

Sum of first 10 term

10 S10ーー* (2 + 20)-22 * 5-110