Sequence

In the arithmetic sequence is given:

Sn=2304, d=2, an=95

Calculate a1 and n.

Correct answer:

a =  1
n =  48

Step-by-step explanation:

s=2304 d=2 b=95  b=a+d (n1) s=n (a+b)/2  a=bd (n1) 2s=n (a+b)  2s=n (bd (n1)+b)  22304=n(2952(n1))  2 2304=n (2 952 (n1)) 2n2192n+4608=0  a=2;b=192;c=4608 D=b24ac=1922424608=0 D=0  n1,2=b±D2a=192±04=48±0 n1,2=48±0 n1=n2=48   Factored form of the equation:  2(n48)(n48)=0  n>0 n=n1=48 a=bd (n1)=952 (481)=1

Our quadratic equation calculator calculates it.

n=n1=48=48



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