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Definition of Functions

If two terms ...

Question

If two terms of an arithmetic progression are known, then the two terms can be represented using which of the formula below?

A

t_{n 1} = a - (n_{1} - 1) d

and

t_{n 2} = a - (n_{2} - 1) d

.

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B

t_{n 1} = 2 a + (n_{1} - 1) d

and

t_{n 1} = 2 a + (n_{2} - 1) d

.

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C

t_{n 1} = a + (n_{1} - 1) d

and

t_{n 1} = a + (n_{2} - 1) d

.

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D

t_{n 1} = a + (n_{1} - 2) d

and

t_{n 1} = a + (n_{2} - 2) d

.

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Solution

The correct option is C $t_{n 1} = a + (n_{1} - 1) d$ and $t_{n 1} = a + (n_{2} - 1) d$ .
If two terms of an arithmetic progression are known, then the two terms can be represented using $t_{n} = a + (n - 1) d$ as the values for tn will be known.

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