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तमिलनाडु बोर्ड ऑफ सेकेंडरी एज्युकेशनएसएसएलसी (अंग्रेजी माध्यम) कक्षा १०

Write the first three terms of the G.P. whose first term and the common ratio are given below a = 1000, r = 25 - Mathematics

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प्रश्न

Write the first three terms of the G.P. whose first term and the common ratio are given below

a = 1000, r = `2/5`

योग

उत्तर

a = 1000, r = `2/5`

tn = arn-1

t1 = ar1-1 = ar= 1000 × 1 = 1000

t2 = ar2-1 = ar = `1000 xx 2/5` = 400

t3 = ar3-1 = ar2 = `1000 (2/5)^2`

= `1000 xx 4/25`

= 160

∴ The 3 terms are 1000, 400, 160, …

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अध्याय 2: Numbers and Sequences - Exercise 2.7 [पृष्ठ ७२]

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सामाचीर कलवी Mathematics [English] Class 10 SSLC TN Board
अध्याय 2 Numbers and Sequences
Exercise 2.7 | Q 2. (iii) | पृष्ठ ७२
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