Given that 1²+2²+3²+..................+10² =385 ,what is the value of 3²+6² +9² .........30²?

A 1,155

B 1,540

C 1,925

D 3,465

Solution

Correct Answer: Option D

দেওয়া আছে ,
3²+6²+9²+........30²
=3²× 1²+(2× 3)² +(3× 3)² +.........+(3×10)²
=3²(1²+2²+3²..............+10²)
=3²×385
=9×385
=3,465

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