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In an A.P, the First Term is 2 and the Sum of the First Five Terms is One-fourth of the Next Five Terms. Show that 20th Term is –112. - Mathematics

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प्रश्न

In an A.P, the first term is 2 and the sum of the first five terms is one-fourth of the next five terms. Show that 20th term is –112.

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उत्तर

First term = 2

Let d be the common difference of the A.P.

Therefore, the A.P. is 2, 2 + d, 2 + 2d, 2 + 3d, …

Sum of first five terms = 10 + 10d

Sum of next five terms = 10 + 35d

According to the given condition,

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अध्याय 9: Sequences and Series - Exercise 9.2 [पृष्ठ १८५]

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एनसीईआरटी Mathematics [English] Class 11
अध्याय 9 Sequences and Series
Exercise 9.2 | Q 3 | पृष्ठ १८५

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