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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 nth term of AP = $a + (n - 1) d$
= $-114 + (n - 1)5$
= $-114 + 5n - 5$
= $5n - 119$
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