CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon


Question

The first term of an arithmetic sequence is 5 and the common difference is 2. Find the sum of its first 25 terms.


Solution

First term of an arithmetic sequence = a + b = 5

Common difference = a = 2

2 + b = 5

b = 5 − 2 = 3

Therefore, nth term of the given arithmetic sequence is

We know that the sum of a specified number of the consecutive terms of an arithmetic sequence is half the product of the number of the terms with the sum of the first and the last term.

Sum of its first 25 terms = … (1)

Here,

Putting the values in equation (1):

Sum of first 25 terms =


Mathematics
Mathematics Part I
Standard X

Suggest Corrections
thumbs-up
 
0


similar_icon
Similar questions
View More


similar_icon
Same exercise questions
View More



footer-image