Welcome to Westonci.ca, your go-to destination for finding answers to all your questions. Join our expert community today! Discover precise answers to your questions from a wide range of experts on our user-friendly Q&A platform. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform.

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]

View image Аноним
View image Аноним