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Find the sum to $n$ terms of the A.P., whose $k^{\text {th }}$ term is $5 k+1$.

Precalculus

Chapter 9

Sequences and Series

Section 2

Sequences

Introduction to Sequences and Series

Piedmont College

University of Michigan - Ann Arbor

Idaho State University

Boston College

Lectures

07:16

In mathematics, a continuo…

04:09

00:22

Find the sum of the first …

00:38

00:27

00:25

Find the sum.$$\sum_{k…

01:38

find each indicated sum.

01:02

Find each indicated sum.

01:32

01:35

Evaluate the sums.$$

00:37

02:00

01:33

01:51

04:51

00:33

Find the sums.$$\sum_{…

01:00

00:15

01:10

00:50

Find each sum.

$$<…

00:51

We have our number seven in which we need to find the sum of in terms of an ap who's keith term is we have been provided with Ghaith term uh which is five K plus one. So from the formula kate stream will be equal to a K. That is K plus or a plus K -1 in today. Where is the first time? And and uh case the D. Is the common difference. Okay? And we can write it as a place k minus one day equal to five K plus one. Okay? So if you open the back it it will be a place KT minus D equal to five K plus when, which means Katie bless a minus D. Equal to five people's one. Okay now if you compare these two we will be getting uh this uh d equal to five. So we have now the equal to five and a minus the equal to one, so equal to D plus 1 95 plus one, Which is equal to six So equal to six d. equal to five. Now uh we have to find that some of a certain number. Okay we have to find some of in terms so we have now S. N. Equal to invite to To a plus and -1 in two d. So we have the values so let's plug in the values As an equal to and by 2-8 that is to into six 12. Let's end minus when into five. So this is and by two 12 Plus five n. Minus five. So as an equal to and by two five N. Plus. Yeah so they should be there. Okay Dancer thank you so much.

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