The third term of the binomial expansion of (2x + 5)⁵ is <span>2000x³.
</span>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:
<span>32x</span>⁵ <span>+ <span>400x</span></span>⁴ <span>+ <span>2000x</span></span>³ <span>+ <span>5000x</span></span>² + <span>6250x </span>+ <span>3125
</span>↓
third term as stated
<span>I ATTACHED THE METHOD OF ARRIVING AT THE ANSWER EASILY BELOW
</span>
</span>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:
<span>32x</span>⁵ <span>+ <span>400x</span></span>⁴ <span>+ <span>2000x</span></span>³ <span>+ <span>5000x</span></span>² + <span>6250x </span>+ <span>3125
</span>↓
third term as stated
<span>I ATTACHED THE METHOD OF ARRIVING AT THE ANSWER EASILY BELOW
</span>