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# Fill in the blanks in the following table, given that a is the first term, d the common difference and an the nth term of the AP:

$a$ | $d$ | $n$ | $a_n$ |

____ | $-3$ | 18 | $-5$ |

Given:

$d=-3, n=18, a_{n}=-5$

To do:

We have to fill in the blank.

Solution:

$d=-3, n=18, a_{n}=-5$

We know that,

$a_{n}=a+(n-1) d$

$-5=a+(18-1)(-3)$

$-5=a-51$

$a=-5+51$

$a=46$

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