Test Index

Binomial Theorem Part 2

Section: Mathematics

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Question : 7 of 100

Marks: +1, -0

The number of common terms in the progressions

4,9,14,19, \dots

25^{\text{th}}

3,6,9,12

37^{\text{th}}

[27-Jan-2024 Shift 1]

9
5
7
8

Solution: 👈: Video Solution

4,9,14,19, \dots

, up to

25^{\text{ih}}

term

T_{25}=4+(25-1)5=4+120=124

3,6,9,12, \dots

, up to

37^{\text{th}}

term

T_{37}=3+(37-1)3=3+108=111

Common difference of

I^{\text{st}}

series

d_1=5

Common difference of II

^{\text{nd}}

series

d_2=3

First common term

=9

, and

their common difference

=15 (LCM)^2.

of

d_1

and

d_2)

then common terms are

9,24,39,54,69,84,99

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