Math, asked by adithyashasan007, 1 year ago

HEY GUYZ..!! GOOD EVENING TO ALL..!! HERE IS MY QUESTION.. :)
If nth term of an A.P. is (2n+1), what is the sum of its first three terms?


Anonymous: n=2 2 nd term 2*2+1=5 ..........n=3 3 rd term is 2*3+1=7
Anonymous: s3 = 3+5+7 = 15
adithyashasan007: tqq
Anonymous: welcome
adithyashasan007: but u can answer it in answer box na?
adithyashasan007: ??
Anonymous: ok wait ...!
adithyashasan007: okk :)
Anonymous: hey someone else started answering it ........... thats ok need any more help?do ask me if u have any doubts.......
adithyashasan007: its ok frnd.. tqq :)

Answers

Answered by siddhartharao77
2

Answer:

15

Step-by-step explanation:

Given,nth term of an AP = 2n + 1.

Substitute n = 1,we get

⇒ First term = a₁ = 2(1) + 1

                           = 3


⇒ Second term = a₂ = 2(2) + 1

                                  = 5


⇒ Third term = a₃ = 2(3) + 1

                             = 7.



Sum of first 3 three terms = 3 + 5 + 7

                                           = 15.



Note: If it was asked for more number of terms,the apply sum of n terms formula = Sn = (n/2)[2a +(n - 1) * d]


Hope it helps!


adithyashasan007: tqq so much.. :)
siddhartharao77: Welcome :-)
adithyashasan007: okk
siddhartharao77: :-)
adithyashasan007: :-)
ProKing417: Sir answer my question
Answered by Siddharta7
2

Answer:

15

Step-by-step explanation:

Let n be 1

a1 = 2(1) + 1

a1 = 3


Let n be 2

a(2) = 2(2) + 1

a(2) = 5


Let n be 3

a3 = 2(3) + 1

a3 = 7


Sum of first three terms = 3/2[a1 + a3]

Sum of first three terms = 3/2[3+7]

Sum of first three terms = 30/2

Sum of first three terms = 15


adithyashasan007: :)
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