Question

Find The 10th Term Of The AP : 2 , 7 , 12 , ........​

Answer 1

$\fbox{ \bold{ \large{Given :- \: \: \: }}}$

$\to$ a = 2

$\to$ d = 7 - 2 = 5

$\to$ n = 10

$\fbox{ \bold{ \large{To \: Find : - \: \: \: }}}$

$\to$ 10th Term Of The Given Arithmetic Progression

$\bold{ \large{ \fbox{Solution :- \: \: \: }}}$

$\to$ nth Term = a + ( n - 1 )d

$\to$ 10th Term = 2 + ( 10 - 1 )5

$\to$ 10th Term = 2 + ( 9 )5

$\to$ 10th Term = 2 + 45

$\to$ 10th Term = 47

$\therefore$ The 10th Term Of The Given AP Is 47

Answer 2

GIVEN :

AP : 2, 7, 12, ......

FIND :

10th term of an AP. ($a_{10})$

Solution :

We know that..

» $a_{n}$ = a + (n - 1)d

Given AP is 2, 7, 12, ...

Here..

First term (a) = 2

Common difference (d) = $a_{2}\:-\:a_{1}$

=> 7 - 2 = 5

Number of terms (n) = 10

Now, put the values in above formula

→ $a_{10}$ = 2 + (10 - 1)5

→ $a_{10}$ = 2 + (9)5

→ $a_{10}$ = 2 + 45

→ $a_{10}$ = 47

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The 10th term of an AP : 2, 7, 12, .... is 47

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