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प्रश्न
Write the first three terms of the APs when a and d are as given below:
a = `sqrt(2)`, d = `1/sqrt(2)`
उत्तर
Given that,
First term (a) = `sqrt(2)`
and common difference (d) = `1/sqrt(2)`
∵ nth term of an AP,
Tn = a + (n – 1)d
∵ Second term of an AP,
T2 = a + d
= `sqrt(2) + 1/sqrt(2)`
= `(2 + 1)/sqrt(2)`
= `3/sqrt(2)`
and third term of an AP,
T3 = a + 2d
= `sqrt(2) + 2/sqrt(2)`
= `(2 + 2)/sqrt(2)`
= `4/sqrt(2)`
Hence, required three terms are `sqrt(2), 3/sqrt(2), 4/sqrt(2)`.
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