Question

If a3 = 11 and a6 = 26 find a10​

Answer 1

Answer:

if this is an a. p then a10 will be 46

Step-by-step explanation:

as a3 =a+2d

and a6 =a+5d

by elimination we get value of a is 1 and d is 5

so a 10 will be 46

1+5×9=46

Answer 2

Step-by-step explanation:

a3= a+2d

therefore a+2d=11 ...... eq1

similarly , a6=a+5d=26 ...... eq1

now solving equation 1 and 2 , we get

3d=15

therefore, d=5

now putting it into any of the 2 equation we fire the value of a as follows

a+ 5×5 = 26

therefore , a =26-25=1

so a10= a+(n-1)d

therefore, a10= 1 + (10-1)5

1+45 = 46