find the sum of the series 3+7+11+15+ upto 30 terms
Answers
Answered by
0
Answer:
sum of 30th term is 1830.
Step-by-step explanation:
GIVEN : IN AN AP,
1st term (a) = 3.
common difference (d) = 7-3.
= 4.
no. of terms (n) = 30.
TO FIND : SUM OF 30th TERMS.
SO, LETS FIND IT.
sum of nth term = n/2 × [2a+(n-1)d].
: sum of 30th term = 30/2 × [(2×3)+(30-1)4].
= 15(6+116).
= 15 × 122.
= 1830.
HOPE IT WILL BE HELPFUL!..
Answered by
23
Answer:
S₃₀ = 1830
Step-by-step explanation:
Given:
- First term = a = 3
- Common difference = d = 7 - 3 = 4
- Number of terms = n = 30
To find:
Sum of 30 terms = ?
Solution:
For finding the sum of n terms in an A.P, apply this formula:
Sₙ = n ÷ 2 [2a + (n - 1)d]
⇒ S₃₀ = 30 ÷ 2 [(2 × 3) + (30 - 1)4]
⇒ S₃₀ = 15 [6 + 116]
⇒ S₃₀ = 15 [122]
⇒ S₃₀ = 1830
∴ Sum of first 30 terms = 1830
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