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In an AP Given a = 8, an = 62, Sn = 210, find n and d. - Mathematics

In an AP

Given a = 8, an = 62, Sn = 210, find n and d.

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Solution

Given that, a = 8, an = 62, Sn = 210

`S_n = n/2[a+a_n]`

`210 = n/2[8+62]`

`210 = n/2(70)`

n = 6

an = a + (n − 1)d

62 = 8 + (6 − 1)d

62 − 8 = 5d

54 = 5d

`d = 54/5`

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APPEARS IN

NCERT Class 10 Maths
Chapter 5 Arithmetic Progressions
Exercise 5.3 | Q 3.07 | Page 112
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