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The square of a term in the arithmetic sequence 2, 5, 8 , ........ is 2500. What is its position ?

A20

B15

C17

D25

Answer:

C. 17

Read Explanation:

nthterm=an+bn^{th}term = a_n+b

=3n1=3n-1

(3n1)2=2500(3n-1)^2=2500

(3n1)2=502(3n-1)^2=50^2

(3n1)=50(3n-1)=50

3n=513n=51

n=51/3=17n=51/3=17


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