Question

What is the 22nd term of the arithmetic sequence where a1 = 8 and a9 = 56?

Answer 1

what have you tried?
know the required formulas?

Answer 2

i am confused about what it wants i have a list of formulas next to me

Answer 3

"What is the 22nd term"

so you will use n'th term formula

"of the arithmetic sequence"
of the arithmetic sequence

Answer 4

\(a_n = a_1 +(n-1)d\)

Answer 5

we are given a9
so plug in n= 9 in that formula

Answer 6

sooo: a of n = a1+(9-1)d

Answer 7

n= 9
so, left side = a9 = 56
and a1 is also given, right!

Answer 8

a1 is 8 right?

Answer 9

yep

Answer 10

56 = 8+8d

Answer 11

so d is 6

Answer 12

yep,
now use the same formula again to find
22d term = a22
just plug in n=22

Answer 13

22nd*

Answer 14

an=8+(22−1)6

Answer 15

is that right?

Answer 16

so 134??

Answer 17

correct :)