First slide

Arithmetic progression

Question

$The 10^{th} common term between the series 3 + 7 + 11 + \dots \dots \dots \dots . . and 1 + 6 + 11 + \dots \dots \dots . is$

Moderate

A

191
B

193
C

211
D

None of these

Solution

First common term a =11
LCM of two common difference = L.C.M of 4 and 5
Common difference , d = 20
$\begin{array}{l} T_{n} = a + (n - 1) d \\ T_{10} = 11 + 9 d \\ = 11 + 9 (20) = 11 + 180 = 191 \end{array}$

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