Question

Justify whether it is true to say that the following are the nth terms of an A.P.: (A) 2n - 3 (B) 3n^2 + 5 (C) 1 +n + n^2​

Answer 1

Answer:

A)2n-3

Step-by-step explanation:

an=2n−3

∴a 1 =2(1)−3=2−3=−1

a 2=2(2)−3=4−3=1

a 3=2(3)−3=6−3=3

a 4=2(4)−3=8−3=5

So, d 1=1−(−1)=2,d 2=3−1=2,d 3=5−3=2

As d1=d2=d3 =2, hence a n=2n−3 is the n th term of an A.P.