Question

what the 10th terms of the. arithmetic progration
2 , 22. ,....... .​

Answer 1

d = 22 - 2 = 20

a = 2

n = 10

an = a + (n - 1) × d

an = 2 + 9 × 20

an = 182

Answer 2

The 10th terms of the given arithmetic progration ($a_{10}$)  = 182

Step-by-step explanation:

The given arithmetic progration:

2 , 22, .........

Here, first term (a) = 2, common difference(d) = 22 - 2 = 20 and

the number of terms (n) = 10

To find, 10th term of the given AP($a_{10}$) = ?

We know that,

The nth term of the AP

$a_{n} =a+(n-1)d$

∴ 10th term of the given AP($a_{10}$)

= 2 + (10 - 1) × 20

= 2 + 9 × 20

= 2 + 180

= 182

∴ The 10th terms of the given arithmetic progration ($a_{10}$)  = 182

Thus, the 10th terms of the given arithmetic progration ($a_{10}$)  = 182