Question

If 7th term of an A.P is 7b+5c and 10th is 10b+ 8c .Find A.P​

Answer 1

Answer:

the answer is above. As shown in picture.

Answer 2

The required A.P is $(b-c), 2b, (3b+c).....$

Step-by-step explanation:

Consider the provided information.

7th term of an AP is 7b+5c

This can be written as:

$a_7=a+(7-1)d$

$a+6d=7b+5c$......(1)

10th term is10b+8c

$a_{10}=a+(10-1)d$

$a+9d=10b+8c$......(2)

By Subtracting equation 1 and 2 we get:

$3d=3b+3c\\d=b+c$

Put the value of d in equation 1.

$a+6(b+c)=7b+5c$

$a+6b+6c=7b+5c$

$a=b-c$

Hence, the required A.P is $(b-c), 2b, (3b+c).....$.

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