Find the (R + 1) Th Term in the Binomial $$( x + d ) ^ { n }$$

question 58

Multiple Choice

Find the (r + 1) th term in the binomial expansion. $$( x + d ) ^ { n }$$

• A) \(\quad \frac { n ! } { ( n - r ) ! r ! } x ^ { n - r + 1 } d ^ { r - 1 }\)
• B) \(\quad \frac { n ! } { ( n - r ) ! r ! } x ^ { n - r } d ^ { r }\)
• C)\(\frac { n ! } { ( n - r - 1 ) ! ( r + 1 ) ! } x ^ { n - r - 1 } d ^ { r + 1 }\)
• D)\(\frac { n ! } { ( n - r ! ( r + 1 ) ! } x ^ { n - r - 1 } d ^ { r + 1 }\)
• E)
• \(\frac { n ! } { ( n + r - 1 ) ! ( r + 1 ) ! } x ^ { n + r - 1 } d ^ { r + 1 }\)

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