Write an equation for the nth term of the arithmetic sequence 23, 16, 9, 2, .... Then find a25. An equation is an= n+ . Question 2 a25=

Question

i dont get this ahh I need help pls

Answer 1

Arithmetic sequence is given by

an = a1 - (n-1) d

where a1 ia the first term and d is the difference of two consecutive terms

Here, a1 = 23 and d = 23-16 = -7

an = 23 + (n-1) (-7)

Simplifying will give us

an = 30 - 7n

To find a25 substitute n = 25

a25 = 30 - 7(25) = -145