Question

The first term in an arithmetic sequence is $-5$ and the second term is $-3$. What is the 50th term? (Recall that in an arithmetic sequence, the difference between successive terms is constant)

• A. $87$
• B. $78$
• C. $74$
• D. $93$

Answer 1

Answer: (D)

$93$

The first term of AP is -5 and second term means -3.

Common difference(d) = second term - first term

d = (-3)-(-5)

d= 2

Now using the formula of nth $T_n=a_1+(n-1)d$

Here $a_1=-5,n=50,d=2$

Puting these values in the formula of of nth term we get

$a_n=-5+(50-1)2$

$a_n=-5+98$

$a_n=93$

So the correct answer is option D