Question

Find the 22nd term of the sequence described by the

explicit formula:
f(n) = 8 + 3(n - 1)

Answer 1

`\boxed{\boxed{\pink{\bf \leadsto The \ 22nd \ term \ is \ 71. }}}`

Explanation:

Given that the nth term of the Arthemetic Sequence is given by :-

`\implies f(n) = 8 + 3(n-1)`

And we need to find the 22nd term .

So in place of n substitute 22 .

`\bf\implies f(n) = 8 + 3(n-1) \\\\\bf\implies f_(22) = 8 + 3(22-1) \\\\\bf\implies f_(22) = 8 + 3* 21 \\\\\bf\implies f_(22) = 8 + 63 \\\\\bf\boxed{\bf\implies f_(22) = 71 }`

Hence the 22nd term is 71 .