Question

What is the third term in the expansion of the binomial (2x + 5)^5?
(and how do you figure out what term is which?)

Answer 1

The third term of the binomial expansion of (2x + 5)⁵ is 2000x³.

The first term of the expansion is when r = 0 ; thus the second is when r = 1 and the third when r = 2.


The  terms of the expansion are:
32x⁵ + 400x⁴ + 2000x³ + 5000x² + 6250x + 3125
                            ↓
                  third term as stated

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