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the sum of the first nine terms of an arithmetic series is 162, and the sum of the first 12 terms is 288. Determine the first five terms of the series.

Sagot :

Answer:

[tex]\boxed{\pink{\tt \leadsto Sum \ of \ first \ five \ terms \ is \ 50 . }}[/tex]

Step-by-step explanation:

Given that , the sum of the first nine terms of an arithmetic series is 162 and the sum of the first 12 terms is 288.

[tex]\boxed{\red{\bf \bigg\lgroup For \ answer \ refer \ to \ attachment \bigg\rgroup }}[/tex]

Related Information :-

• The sum of n terms of an AP is

[tex]\boxed{\orange{\sf S_n = \dfrac{n}{2}[2a+(n-1)d] }}[/tex]

• nth term of an AP is given by ,

[tex]\boxed{\blue{\sf T_n = a+(n-1)d }}[/tex]

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