Determine the AP whose 3rd term is -6 and 7th term is -30
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the AP is 6,0,-6,-12,... where first term (a) =6 and
common difference (d) = -6
Step-by-step explanation:
Here, 3rd term = a+ 2d
=>-6 = a + 2d------(i)
And, 7 th term = a+ 6d
=>-30 = a+ 6d---(ii)
Solving (i) and (ii),we get
d = -6
Putting d = -6 in (i), we get
a = 6
Hence, the required AP is 6,0,-6,-12,...
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