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Gaurav Seth 6 years, 9 months ago
2 + 6 + 10 + ...... x = 1800
here ; 2, 6, 10 , .....x are in arithematic progression where 2 is first term and 4 is common difference of ap.
use formula, to find number of terms in ap.
x = 2 + (n - 1) × 4
x = 2 + 4n - 4
x = 4n - 2
x + 2 = 4n
n = (x + 2)/4
now, use formula,
here,
1800 = {(x + 2)/4}/2 [2 + x ]
1800 = (x + 2)/8 × (x + 2)
1800 × 8 = (x + 2)²
14400 = (x + 2)²
(120)² = (x + 2)²
x + 2 = 120 => x = 118
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Priya Gupta 6 years, 9 months ago
2Thank You