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प्रश्न
Write an A.P. whose first term is a and common difference is d in the following.
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उत्तर
a = –7, d = `1/2`
t1 = a = –7
t2 = a + d = `-7 + 1/2 = (-14 + 1)/2 = (-13)/2`
t3 = a + 2d = `-7 + 2(1/2)` = –7 + 1 = –6
t4 = a + 3d = `-7 + 3(1/2) = -7 + 3/2 = (-14 + 3)/2 = (-11)/2`
∴ A.P. is `-7, (-13)/2, -6, (-11)/2 .......`
∴ A.P. is –7, –6.5, –6, –5.5 ........
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संबंधित प्रश्न
In a potato race, a bucket is placed at the starting point, which is 5 m from the first potato and other potatoes are placed 3 m apart in a straight line. There are ten potatoes in the line.
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Solution: First term = a = 6, common difference = d = 3, S27 = ?
Sn = `"n"/2 [square + ("n" - 1)"d"]` - Formula
Sn = `27/2 [12 + (27 - 1)square]`
= `27/2 xx square`
= 27 × 45
S27 = `square`
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