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teachoo.com
Ex 9.4. 4 - Find sum of series 1/ 1 x 2 1/ 2 x 3 1/ 3 x 4
Ex 9.4, 4 Find the sum to n terms of the series 1/(1 × 2) 1/(2 × 3) 1/(3 × 4) ……… nth term of series 1/(1 × 2) 1/(2 × 3) 1/(3 × 4) ……… is 1/(𝑛(𝑛 1))⇒ an = 1/(𝑛(𝑛 1)) = ((𝑛 1) − 𝑛)/(𝑛(𝑛 1)) = ((𝑛 1))/(𝑛(𝑛 1)) – 𝑛/(𝑛(𝑛 1)) = 1/𝑛 – 1/((𝑛 1))
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