Warning: foreach() argument must be of type array|object, bool given in /var/www/html/web/app/themes/studypress-core-theme/template-parts/header/mobile-offcanvas.php on line 20

What is the relationship between k=1ak,k=10ak? If you knew that k=10akconverged to42, what other information would you need to know to find the sum ofk=1ak?

Short Answer

Expert verified

The required relationship is k=1ak=k=19ak+k=10ak.

To find the sum of k=10ak, first it is required to knowk=19ak.

Step by step solution

01

Step 1. Given information.

Consider the given question,

The series k=1ak,k=10akand the seriesk=10akis converging to42.

02

Step 2. 

The series k=1akis written as,

k=1ak=k=19ak+k=10ak......(i)

To find the sum of k=1ak, the sum of the series k=1akis needed because from equation (i),

The sum of k=10akis known and only value needed is k=19ak.

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 Vaia!

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

See all solutions

Recommended explanations on Math Textbooks

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.

Sign-up for free