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Q.

Find the next term in the A.P. 

 a, 2a, 3a, 4a, 

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a

5a, 6a, 7a

b

4a, 5a, 6a

c

6a, 7a, 8a

d

6a, 8a

answer is A.

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Detailed Solution

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Here,

a2  a1 = 2a  a = a

a3  a2 = 3a - 2a = a

a4  a3 = 4a - 3a = a

The common difference (d) comes out to be a,  

Hence, the next three terms can be found using:

an = an-1+d

a5 = 4a+a = 5a

a6 = 5a+a = 6a

a7 = 6a+a = 7a

Therefore, 5a, 6a, 7a is the correct option.

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