Math, asked by ankita154, 1 year ago

the first & last terms of an ap are 17 and 350 respectively. if the common difference is 9 how many terms are there & what is there sum?

Answers

Answered by Anonymous
2
Hey friend

Here is your answer

a=17

an=350

d=9

an=a+(n-1)d

350=17+(n-1)9

350-17=(n-1)9

333=(n-1)9

n-1=333/9

n-1=37

n=38

Sn=n/2(a+an)

Sn=38/2(17+350)

Sn=19(367)

Sn=6973

Hope this helps you


ankita154: this is rytt!! thnx dear
Anonymous: ur welcome dear (^_^)
ankita154: hm g
Answered by jaya1012
2
HELLO......FRIEND!!

THE ANSWER IS HERE,

First term (a) = 17.

common difference (d)=9.

Last term (l) =350.

an = a+(n-1)d.

=> 350 =17+(n-1)9

=> (n-1)9=333

=> n-1=37

=> n=38.

So, There are 38 terms.

Sum of all the 30 terms ,

 = > \: s = \frac{n}{2} (a + l)

 = > \: \frac{38}{2} (17 + 350)

 = > \: 19(367)

=> 6973.

So, The sum of the terms is 6973.

:-)Hope it helps u.
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