Given: underset(n)(S)=4407, underset(1)(a)=32, d=11 Find n.

CheemnCatelvew

CheemnCatelvew

Answered question

2021-08-12

Given:
Sn=4407,a1=32,d=11
Find n.

Answer & Explanation

tabuordy

tabuordy

Skilled2021-08-13Added 90 answers

Use the formula:
Sn=n2[2a1+(n1)d]
Substitute the given:
4407=n2[2(32)+(n1)(11)]
4407=n2(64+11n11)
4407=n2(53+11n)
(2) 4407=2n2(53+11n)
8814=n(53+11n)
8814=53n+11n2
11n2+53n8814=0
x=b±b24ac2a
x=n in our case. Substitute a=11, b=53 and c=8814.
n=53±5324(11)(8814)2(11)
n=53±39062522
n=53±62522
n=26.n=33911.
n cant

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