Identify the 27th term of an arithmetic sequence where a1 = 38 and a17 = - 74

-20.5

-151

-22.75

-144

Question

Mathematics

Orlando Aguirre

13 December, 23:18

Identify the 27th term of an arithmetic sequence where a1 = 38 and a17 = - 74

-20.5

-151

-22.75

-144

+1

Answers (1)

Know the Answer?

Charlize Moses · Answer 1

Hello : the general terme is : an = ap + (n-p) r ... n, p in N and r in R

let n=17 and p = 1

a17 = a1 + (17-1) r

-74 = 38 + 16r

16r = - 112

r = - 7

an = a1 + (n-1) r

a27 = 38+26 (-7) = - 144

Identify the 27th term of an arithmetic sequence where a1 = 38 and a17 = - 74-20.5-151-22.75-144

Identify the 27th term of an arithmetic sequence where a1 = 38 and a17 = - 74

-20.5

-151

-22.75

-144