Answer:
31 terms.
Step-by-step explanation:
218 = 8 + (n-1)7
210 = (n-1)7
30 + n-1
n = 31
There would be 31 terms in the given AP.
Given:
(4k⁷)³ = 4n(k⁷)³
Note that (aˣ)ⁿ = aˣⁿ
Expand the left and right sides.
4³k²¹ = 4nk²¹
Divide each side by k²¹.
4³ = 4n
Divide each side by 4.
4² = n
Therefore
n = 4² = 16
Answer: n = 16
