Knowee
Questions
Features
Study Tools

Find the sum of the first 32 terms of the following series: 1.2 + 2.3 + 3.4 + 4.5 + ……

Question

Find the sum of the first 32 terms of the following series:

1.2 + 2.3 + 3.4 + 4.5 + ……

🧐 Not the exact question you are looking for?Go ask a question

Solution

This is an arithmetic series where each term is the product of a natural number and its successor in decimal form.

The nth term of the series can be represented as n*(n+0.1).

The sum of the first N terms of an arithmetic series can be found using the formula:

S = n/2 * (a + l)

where: S is the sum of the first n terms, n is the number of terms, a is the first term, and l is the last term.

In this case, the first term a = 11.1 = 1.1 and the last term l = 3232.1 = 1024.

So, the sum of the first 32 terms is:

S = 32/2 * (1.1 + 1024) = 16 * 1025.1 = 16401.6

This problem has been solved

Similar Questions

The 342nd term of the series 1, 2, 2, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 5, ……….. is

Find the sum to n terms of each of the series in Exercises 1 to 7.1. 1 × 2 + 2 × 3 + 3 × 4 + 4 × 5 + …

The 3rd and the 6th terms of a G.P. are 108 and -32 respectively. Find the sum of the 1st 7 terms

What will be the sum of the sequence up to 5th term 9, 36, 144, 576, ...? 3069 3070 3071 3072

The sum of 4th and 8th terms of an A.P. is 24 and the sum of the 6th and 10th terms is 34. The First term is:

1/3

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.