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Course / Category - 10th NTSE

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10th NTSE

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NTSE

10th NTSE

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Concepts Learning Progress

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Maths / Series / Sum of First n Terms of AP

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Sum of First n Terms

Sum of N Terms of an AP: The sum of n terms when the AP is given

$large S_n=large frac{n}{2}left [ 2a+(n-1)d right ];or;=frac{n}{2}(a+l)$

When l = Last term up to which the sum of A.P. is to find

For Example: Find the sum of first 10 terms of the given AP 34+ 37+ 40+....

Solution: $large a = 34,;d=37-34=3;,n=10$

$large Rightarrow 34+37+40+.....10 ;terms = ?$

$large S_{n}=frac{n}{2}left [ 2a+(n-1) dright ]$

Substituting thevalue of 'a' and 'd ' and n in $large s_{n}$

$large S_n= frac{10}{2} left [ 2times 34+ (10-1) 3 right ]$ $large S_n= frac{10}{2} left [ 68+ (9)3 right ]$

$large S_n= frac{10}{2} left [ 68+ (9)3 right ]$ $large = 5 left [ 68+ 27 right ]=5 times 95=475$

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Sum of First n Terms

₹17200 ₹12000 +
Taxes