Question

the first term of AP is 3 and the last term is 17,if the sum of all yerms is 150 what is the 5th term​

Answer 1

Step-by-step explanation:

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Answer 2

Answer:

$\huge{\boxed{\rm{\pink{a5=7}}}}$

Step-by-step explanation:

Given :-

the first term of AP is 3 and the last term is 17,if the sum of all yerms is 150 .

To find:-

what is the 5th term

Solution:-

First term of the AP=(a)=3

Last term of the AP=(l or an)=17

Sum of all terms =(Sn)=150

we know that ,If the first term and last term is given then the sum of n terms =Sn=n(a+l)/2

=>150=n(3+17)/2

=>150=n(20)/2

=>150=10n

=>10n=150

=>n=150/10

=>n=15

Number of terms in the AP=15

We know that an=a+(n-1)d

=>17=3+(15-1)d

=>17+3+14d

=>17-3=14d

=>14=14d

=>14d=14

=>d=14/14

=>d=1

Common difference=(d)=1

5th term =a+4d

=>a5=3+4(1)

=>a5=3+4

=>a5=7

Answer:-

Fifth term of the AP =7