मराठी

Which term of the progression 34 +1 +54 +... is 12? - Mathematics

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प्रश्न

Which term of the progression `3/4 + 1 + 5/4 + ...` is 12?

बेरीज
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उत्तर

a = `3/4`

d = `1 − 3/4 = 1/4`

d = `5/4 - 1 = 1/4`

d = `1/4`

an = 12

an = a + (n − 1)d

`12 = 3/4 + (n − 1)1/4`

Multiply the entire equation by 4 to clear the fractions:

48 = 3 + (n − 1)

48 = 3 + n − 1

48 = 2 + n

48 − 2 = n

n = 46

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पाठ 9: Arithmetic and geometric progression - Exercise 9B [पृष्ठ १८०]

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नूतन Mathematics [English] Class 10 ICSE
पाठ 9 Arithmetic and geometric progression
Exercise 9B | Q 3. (c) | पृष्ठ १८०
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