Question

Write the nth term of arithmetic sequence 10,16,22....

Answer 1

EXPLANATION.

• GIVEN

sequence will given as = 10,16,22......

To find nth term of Ap

Let first term of Ap = 10

common difference = d = b - a = 16 - 10 = 6

Formula of Nth term

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

$a_{n} = 10 + (n - 1)6$

$a_{n} = 10 + 6n - 6$

$a_{n} = 6n \: + \: 4$

VERIFICATION

$a _{n} = 6n + 4$

put n = 1

6(1) + 4 = 10

put n = 2

6(2) + 4 = 16

put n = 3

6(3) + 4 = 22

put n = 4

6(4) + 4 = 28

Therefore,

sequence will be = 10,16,22,28 .....

SOME RELATED FORMULA.

FORMULA OF AP

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

$s_{n} \: term \: = \frac{n}{2}(2a \: + (n - 1)d$

FORMULA OF GP

$a_{n} = ar {}^{n - 1}$

$s_{n} = \frac{a(r {}^{n} - 1) }{r - 1}$