Question

Find common difference of AP if a10,-a8, =12
a) 2
b)18
c) 6
d) 1​

Answer 1

(A+9d)-(A+7d)=12
A+9d-A-7d=12
2d=12
D=12/2
D=6
Pls mark It as Brainlist

Answer 2

SOLUTION

TO CHOOSE THE CORRECT OPTION

Find common difference of AP if

$\sf{ a_{10} - a_{8} = 12}$

a) 2

b) 18

c) 6

d) 1

EVALUATION

Let first term = a and common difference = d

$\sf{ 10 \: th \: term = a_{10} = a + 9d}$

$\sf{8 \: th \: term = a_{8} = a + 7d}$

Now by the given condition

$\sf{ a_{10} - a_{8} = 12}$

$\sf{ \implies (a +9d) - (a + 7d) = 12}$

$\sf{ \implies a +9d- a - 7d= 12}$

$\sf{ \implies 2d= 12}$

$\sf{ \implies d= 6}$

Hence common difference = 6

FINAL ANSWER

Hence the correct option is c) 6

━━━━━━━━━━━━━━━━

Learn more from Brainly :-

1. If the middle term of a finite AP with 7 terms is 21 find the sum of all terms of the AP

https://brainly.in/question/30198388

2. find the 100th term of an AP whose nth term is 3n+1

https://brainly.in/question/22293445