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3 votes
Find the 4th term of (x+5)^7

A. 35x^4

B. 4375x^4

C. 21,875x^3

D. 625x^4

2 Answers

5 votes

Answer:

B. 4375x^4

Explanation:

Firstly, you can just multiply it and look at the fourth term or use the binomial theorem. Either way it's B.

User Viatorus
by
8.1k points
2 votes

Answer:

4375x^4.

Explanation:

There is a useful formula for answering these type of questions. It is:

(r + 1)th term of (x + a)^n = nCr x^(n-r) a^r.

4th term = (3 + 1)th term of (x + 5)^7

= 7C3 x^(7-3) 5^3

= 35 x^4 * 125

= 4375x^4.

User Lababidi
by
8.5k points