Question

If the sum of the first two terms of an Arithmetic Progression (AP) is equal to
the sum of the first three terms of the same Arithmetic Progress
find the sum of the first five terms of the same Arithmetic Progression (A.P.) ​

Answer 1

Answer:

Answer is below

Step-by-step explanation:

Answer 2

Let the terms be (a-d), (a), (a+d), (a+2d), (a+3d)

Now, according to question,

(a-d) +(a) =(a-d) +a+(a+d)

Or, a-d+a= a-d+a+a+d

Or, d = -a

Now,

Sum of 5 terms by replacing d with (-a)

a- -a + a + a-a + a-2a + a-3a

= 2a + a + 0 + -a + -2a

= 0

Hence, the answer is zero