/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q. 329 Find the sum of the first 25 ter... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 12: Q. 329 (page 1222)

Find the sum of the first 25 terms of the arithmetic sequence, 5,9,13,17,21,...

Short Answer

Expert verified

The sum of the first 25 terms of the sequence5,9,13,17,21,... is 1325

Step by step solution

01

Step 1. Given

The arithmetic sequence is 5,9,13,17,21,...

To find the sum of the first 25 terms.

02

Step 2. Formula for the sum of n terms

The sum, Sn, of the first nterms of an arithmetic sequence is,

Sn=n2(a1+an)

where a1is the first term and anis the nth term.

03

Step 3. Find the value of d,an

The sequence is 5,9,13,17,21,...

a1=5d=9-5=4

a25=a1+(25-1)d=5+(24)4=101

04

Step 4. Find the sum of 25 terms

Substitute a1=5,an=101in the formula of sum of nterms,

S25=252(5+101)\=252(106)=25(53)=1325

The sum of 25 terms is 1325

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

In the following exercises, expand each binomial using Pascal's Triangle.

(x-y)5

In the following exercises, write the first five terms of each geometric sequence with the given first term and common ratio.

a1=-4andr=-2

In the following exercises, expand each binomial using Pascal's Triangle.

(4x-1)3

Find the sum of the first 20terms of the geometric sequence3,6,12,24,48,96,鈥�.

In the following exercises, expand each binomial.

(m+n)5
See all solutions

Recommended explanations on Math Textbooks

Applied Mathematics

Read Explanation

Mechanics Maths

Read Explanation

Decision Maths

Read Explanation

Probability and Statistics

Read Explanation

Calculus

Read Explanation

Geometry

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.