Question

Q. Find the second term if an AP if the sum of its first five even terms is equal to 800 and the sum of the first three terms is equal to 300.

• A. 140
• B. 120
• C. 150
• D. 160

Answer 1

The correct option is B 120

For first case common difference is 2d
$S_5=800=\frac{5}{2}\times (2a+4\times 2d)=1600=10a+40d=160=a+4d\to (1\text{For 2nd case common difference is 2d}{S}_3=300=\frac{3}{2}\times (2d+2\times d)600=6a+6d100=a+d\to (2(1-(2=60=3dd=20a=80$
$3^{nd}$ term = 80+2$\times$20=120