Math, asked by jayashree2014lakshma, 3 months ago

if 7,a, 15,b are the consecutive terms of an Ap. then value of a and b will be

Answers

Answered by Anonymous
2

Answer:

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Answered by raisanjeet8896
2

Answer:

a=11 and b=19

Step-by-step explanation:

Given:

•7,a,15,b are in A.P.

From the given sequence of A.P

We conclude that,

first term, a1 = 7

second term, a2 = a

third term, a3 = 15

fourth term, a4 = b

let the common difference be d.

Now,

a3 = a1 + (3-1)*d. {Tn = a+(n-1)*d}

15 = 7 + 2d

then, d = 4

Again,

a2 = a+d

or, a = 7+4

a = 11

similarly,

a4 = a+3d

or, b = 7 +3*4

or, b = 19

Hence , This is the required solution.

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