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Question: If \(m ^ { t h }\) terms of the series <img src="https://cdn.pureessence.tech/canvas_326.png?top_lef...

If mthm ^ { t h } terms of the series and 3+10+17+24+3 + 10 + 17 + 24 + \ldots \ldots be equal, then m=m =

A

11

B

12

C

13

D

15

Answer

13

Explanation

Solution

Given series 63+65+67+69+63 + 65 + 67 + 69 + \ldots \ldots …..(i)

and 3+10+17+24+3 + 10 + 17 + 24 + \ldots \ldots ….. (ii)

Now from (i), term =(2m+61)= ( 2 m + 61 ) and term of (ii) series =(7m4)= ( 7 m - 4 )

Under condition,

7m4=2m+615m=65m=13\Rightarrow 7 m - 4 = 2 m + 61 \Rightarrow 5 m = 65 \Rightarrow m = 13.