The sum of 5 numbers in AP is 30 and the sum of their squares is 220. Which of the following is the third term?

Arianna Pruitt

Arianna Pruitt

Answered question

2023-01-05

The sum of 5 numbers in AP is 30 and the sum of their squares is 220. Which of the following is the third term?

Answer & Explanation

zupreisen14v

zupreisen14v

Beginner2023-01-06Added 11 answers

Let take the 5 numbers as,
a2d,ad,a,a+d,a+2d
a= first term of the A.P and d= Common difference
a2d+ad+a+a+d+a+2d=30
(a+a+a+a+a)+(2dd+d+2d)=30
4a+0=30
a=305
a=6

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