if for an a.p. the first term is 3 and the common difference is 4 then find s 10
Answers
Answered by
10
S₁₀ = 210
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Solution :- Given first term 'a' = 3
common diffrence 'd' = 4
number of term 'n' = 10
we have to find S₁₀
- As we know that , Sₙ = n/2[2a+(n-1)d]
- S₁₀ = 10/2[ 2×3 + (10-1)*4 ]
- S₁₀ = 5× (6+36)
- S₁₀= 5× 42
- » S₁₀= 210Answer
_____________________________
Answered by
6
Answer:
- Sum of 10 terms is 210.
Step-by-step explanation:
Given:-
- First term is 3.
- Common difference is 4.
To find:-
- Sum of 10 terms of A.P.
Solution:-
We know that
In which,
- n, a and d are number of terms, First term and common difference respectively.
n = 10
a = 3
d = 4
Put the values in formula
➝ S₁₀ = 10/2 [ 2 × 3 + (10 - 1) × 4]
➝ S₁₀ = 5 [ 6 + (9) × 4]
➝ S₁₀ = 5 [6 + 36]
➝ S₁₀ = 5 × 42
➝ S₁₀ = 210.
Therefore
Sum of 10 terms of A.P is 210.
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