Q. 15.0( 1 Vote )

# Which one of the following is not true?A. A sequence is a real valued function defined on N.B. Every function represents a sequence.C. A sequence may have infinitely many terms.D. A sequence may have a finite number of terms.

“Not true” – tells us that there is one option among A, B C or D which is false, while the rest are true.

Let us examine each option separately.

● A, is true because a sequence a is defined on a set of natural numbers.

● C, is true because an infinite sequence is possible. (ex. Infinite GP)

● D, is true because a finite sequence is possible. (ex. Finite AP, GP or HP)

● B, is false because every function is not a sequence, but every sequence is a function.

Hence, the correct option is B.

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