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The sun of n terms of an AP is 4n^2 5n.Find the series?
Most Upvoted Answer
The sun of n terms of an AP is 4n^2 5n.Find the series?
Sn=4n²+5n,
for n=1,
s1=4(1)²+5(1)=9=a1,
for n=2,
S2=4(2)²+5(2)=16+10=26,
s2=a1+a2,
26=9+a2,
a2=26-9=17,
d=a2-a1=17-9=8,
series:9,17,.....
for n=1,
s1=4(1)²+5(1)=9=a1,
for n=2,
S2=4(2)²+5(2)=16+10=26,
s2=a1+a2,
26=9+a2,
a2=26-9=17,
d=a2-a1=17-9=8,
series:9,17,.....
Community Answer
The sun of n terms of an AP is 4n^2 5n.Find the series?
Sn = 4n2 + 5
Sn = n(4n + 5)
Sn = n(10 + 8n)/2
Sn = n(18 + 8(n - 1))
Sn = n(2(9) + 8(n - 1))/2
On comparing the above with Sn = n(2a + d(n - 1))/2 we get,
first term, a = 9 and common difference, d = 8
So, the series will be 9, 17, 25, 33, ...
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The sun of n terms of an AP is 4n^2 5n.Find the series? for Class 10 2025 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about The sun of n terms of an AP is 4n^2 5n.Find the series? covers all topics & solutions for Class 10 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The sun of n terms of an AP is 4n^2 5n.Find the series?.
The sun of n terms of an AP is 4n^2 5n.Find the series? for Class 10 2025 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about The sun of n terms of an AP is 4n^2 5n.Find the series? covers all topics & solutions for Class 10 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The sun of n terms of an AP is 4n^2 5n.Find the series?.
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