hobileme hobileme
  • 24-04-2018
  • Mathematics
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Find the sum of last ten terms of the AP : 8, 10, 12,...., 126.

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THEBRAINLY2
THEBRAINLY2 THEBRAINLY2
  • 24-04-2018
For finding, the sum of last ten terms, we write the given AP in reverse order i.e, 126, 124, 122,..., 12, 10, 8

Hence,first term (a) = 126, common difference, (d) = 124 - 126

So, [tex]S _{10} = \frac{10}{2} [ 2a + (10 - 1)d ] \: [/tex]
[tex] = 5 [2(126) + 9( - 2) ] [/tex]
[tex] = 5(252 - 18)[/tex]
[tex] = 5 \times 234 = 1170[/tex]
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