Question

What is the 23rd term of the arithmetic sequence where a1 = 9 and a5 = 23?

Answer 1

23rd term = a + 22d where a = first term and d = common difference
common difference = (23-9) / 4 = 3.5
23rd term = 9 + 22* 3.5
= 9 + 77
= 86

Answer 2

follow that ok yasmeen?

Answer 3

do you see how I calculated the common difference d?

Answer 4

i think common difference is 7/2. this is becuz, 23=9+d(5-1), 23=9+5d-d, 14=4d, d=7/2. from there, plug it in. so an=9+7/2(23-1), distribute. u get ans=86

Answer 5

formula for arithmetic explicit is a of n=1st term+common diff(nth term-1)