alleryHow many terms does the expansion of a binomial to index n contain?
An plus two
Bn plus four
Cn plus nine
Dn plus one
Answer & Solution
Correct answer: D. n plus one
1. The count always exceeds the index.
2. It exceeds it by exactly one.
3. There are n plus 1 terms in the expansion, one more than the index.
4. So the answer is n plus one.
_Source: syllabus Mathematics, Ch 7 'Binomial Theorem'_
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