/*! 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 12.39. Find the sum: ∑i=1306i−4... [FREE SOLUTION] | 91Ó°ÊÓ

91Ó°ÊÓ

Find the sum:∑i=1306i−4

Short Answer

Expert verified

The obtained sum is 2670.

Step by step solution

01

Step 1. Given Information.

Consider the given sum:∑i=1306i−4

02

simplify the sum.

Express the sum and identify the values.

∑i=1306i−4=61−4+62−4+63−4+⋯+630−4=2+8+14+⋯+176=a1+a2+a3+⋯+a30

Thus, the obtained values area1=2anda30=176.

03

Step 3. Find the sum.

Substitute the values in the some formula Sn=n2a1+an

S30=3022+176=15178=2670

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 91Ó°ÊÓ!

One App. One Place for Learning.

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

Get started for free

Study anywhere. Anytime. Across all devices.