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Maharashtra State BoardSSC (English Medium) 10th Standard

For an A.P., if t_1 = 1 and t_n = 149, then find S_n. Activitry :- Here t_1= 1, t_n = 149, S_n = ? S_n = n/2(□ + □) = n/2 × □ = □ n, where n = 75

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Question

For an A.P., if t1 = 1 and tn = 149, then find Sn.

Activitry :- Here t1= 1, tn = 149, Sn = ?

Sn = `n/2 (square + square)`

= `n/2 xx  square`

= `square` n, where n = 75

Activity
Sum
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Solution

Here, t1= 1, tn = 149, Sn = ?

Sn = \[\frac{n}{2} (\boxed{t_1} + \boxed{t_n})\]

= `n/2 (1 + 149)`

= \[\frac{n}{2} \times \boxed{150}\]

= \[\boxed{75}\] n, where n = 75

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Chapter 3: Arithmetic Progression - Q.2 (A)

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