Sequence

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 = b  d (n1) 2s = n (a+b)  2s = n (b  d (n1)+b)  2 2304=n (2 952 (n1))  2 2304=n (2 952 (n1)) 2n2192n+4608=0 2 ...  prime number 192=263 4608=2932 GCD(2,192,4608)=2  n296n+2304=0  a=1;b=96;c=2304 D=b24ac=962412304=0 D=0  n1,2=2ab±D=296±0=48± n1,2=48±0 n1=n2=48  n>0 n=n1=48 a=bd (n1)=952 (481)=1

Our quadratic equation calculator calculates it.

n=n1=48



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