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निम्न दी गई गुणोत्तर-श्रेणी का मान श्रेढीसूत्र से ज्ञात करो ।

(1) 4, 16, 64… (4 पदों का योग)

(2) 2, 3, 9/2… (5 पदों का योग)

(3) 100, 20, 4… (5 पदों का योग) ।

(4) \(\frac{1}2, \frac{1}4, \frac{1}8\) … (10 पदों का योग)

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(1) 4, 16, 64… (4 पदों का योग)

(2) 2, 3, \(\frac{9}2\)… (5 पदों का योग)

(3) 100, 20, 4… (5 पदों का योग) ।

यहाँ a = 100, सामान्य गुणो ‘ सामान्य गुणोत्तर r = \(\frac{T_2}{ T_1}=\frac{20}{100}\) = 0.2 n = 5
यहाँ |r| < 1 है ।

(4) \(\frac{1}2, \frac{1}4, \frac{1}8\) … (10 पदों का योग)

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