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What is the 5th Term Form the End of the Ap 2, 7, 12, …., 47? - Mathematics

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प्रश्न

What is the 5th  term form the end of the AP 2, 7, 12, …., 47?

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उत्तर

The given AP is 2, 7, 12, ..., 47.
Let us re-write the given AP in reverse order i.e. 47, 42, .., 12, 7, 2.
Now, the 5th term from the end of the given AP is equal to the 5th term from beginning ofthe AP 47, 42,.... ,12, 7, 2.
Consider the AP 47, 42,..., 12, 7, 2.
Here, a = 47 and d = 42 – 47 = –5
5th term of this AP
= 47 + (5 – 1) × (–5)
= 47 – 20
= 27
Hence, the 5th term from the end of the given AP is 27.

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पाठ 11: Arithmetic Progression - Exercises 3

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आर. एस. अग्रवाल Mathematics [English] Class 10
पाठ 11 Arithmetic Progression
Exercises 3 | Q 10

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