Question

Number of terms common in the first 100 terms of the arithmetic progression $1+4+7+10+13+$ ...... and $2+6+10+14+$ ........ is

• A. 8
• B. 16
• C. 25
• D. 27

Answer 1

Answer: (C)

$T_{100}=1+(100-1)3=1+297=298$
common terms are $10+22+34+\dots \dots ..+298$
common terms are $10+22+34+\dots \dots ..+298$
$298=10+(n-1)12=12n-2$
$12n=300\Rightarrow n=25\Rightarrow (C)$