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Which term of following A.P. is −940. 50, 40, 30, 20 ........ Activity :- Here a = □, d = □, tn = −940 According to formula, tn = a + (n − 1)d −940 = □ n = □ - Algebra

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Sum

Which term of following A.P. is −940.

50, 40, 30, 20 ........

Activity :- Here a = `square`, d = `square`, tn = −940

According to formula, tn = a + (n − 1)d

−940 = `square`

n = `square`

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Solution

Here a = 50, d = 40 − 50 = −10, tn = −940

According to formula, tn = a + (n − 1)d

−940 = 50 + (n − 1)(−10)

∴ – 940 = 50 – 10n + 10

∴ – 940 = 60 – 10n

∴ 10n = 60 + 940

∴ 10n = 1000

∴ n = `1000/10`

n = 100

Concept: Arithmetic Progression
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