StudyGPT Just Leveled Up – Say Hello to Knowee! 🚀
Knowee
Questions
Features
Study Tools

Find the 3rd term of an A.P. If the sum of its 5 terms is 60.Choices:- 10 12 14 16

Question

Find the 3rd term of an A.P.

If the sum of its 5 terms is 60.

Choices:

  • 10
  • 12
  • 14
  • 16
🧐 Not the exact question you are looking for?Go ask a question

Solution

To find the 3rd term of an arithmetic progression (A.P.), we first need to understand the formula for the sum of an A.P.

The sum S of n terms of an A.P. with first term a and common difference d is given by the formula:

S = n/2 [2a + (n-1)d]

We know that the sum of the first 5 terms is 60. So, we can write the equation as:

60 = 5/2 [2a + (5-1)d]

Solving this equation, we get:

60 = 5/2 [2a + 4d]

Simplify to get:

24 = 2a + 4d

Divide through by 2 to get:

12 = a + 2d -----(1)

We also know that the third term of an A.P. is given by a + 2d.

From equation (1), we can see that the third term is 12.

So, the answer is 12.

This problem has been solved

Upgrade your grade with Knowee

Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.