First slide

Arithmetic progression

Question

The number of common terms between the sequences given by 1, 4, 7, 10…298 and 2, 4, 6,8 …. 300 is

Moderate

A

49
B

50
C

48
D

100

Solution

$T_{n} = 3 n - 2, T_{m} = 2 m 3 n - 2 = 2 m n is even$
$N = 2, 4, 6 \dots \dots \dots 100 Common terms are 4, 10 \dots \dots \dots .$

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