Complete the following pattern -114,-109,...

Given the following pattern  $-114,-109,...$

To complete the given pattern

Solution:

From given pattern $-114, -109...$it is an arithmetic progression (AP) with first term $-114$ and common difference of

$-109 - (-114) = -109 + 114 = +5$

So next five terms in the AP are

$-114, -109, -104, -99, -94, -89, -84...$and so on

The n^th term of AP = $a + (n - 1) d$

                           = $-114 + (n - 1)5$

                           = $-114 + 5n - 5$

                           = $5n - 119$  

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Updated on: 10-Oct-2022

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