Tamil Nadu Board of Secondary EducationSSLC (English Medium) Class 10th
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If nine times ninth term is equal to the fifteen times fifteenth term, show that six times twenty fourth term is zero - Mathematics

Sum

If nine times ninth term is equal to the fifteen times fifteenth term, show that six times twenty fourth term is zero

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Solution

Nine times ninth term = Fifteen times fifteenth term

9t9 = 15t15

9(a + 8d) = 5(a + 14d)

9a + 72d = 15a + 210

15a + 210d – 9a – 72d = 0

⇒ 6a + 138 d = 0

⇒ 6(a + 23 d) = 0

⇒ 6(a + (24 – 1)d) = 0

⇒ 6t24 = 0.

Hence it is proved.

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APPEARS IN

Samacheer Kalvi Mathematics Class 10 SSLC Tamil Nadu State Board
Chapter 2 Numbers and Sequences
Exercise 2.5 | Q 7 | Page 62
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