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Answered on 03/12/2016 Tuition/Class XI-XII Tuition (PUC) Tuition/Class XI-XII Tuition (PUC)/Mathematics Sequences and Series

What is the formula for arithmetic mean in sequence and series?

Sarvajeet Kumar

Tutor

a, b, c are in A. P. b=(a+c)/2.

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Answered on 03/12/2016 Tuition/Class XI-XII Tuition (PUC) Tuition/Class XI-XII Tuition (PUC)/Mathematics Sequences and Series

What is the formula for finding the sum of nth term?

Sarvajeet Kumar

Tutor

Sn=(n/2)(2a+(n-1)d).

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Answered on 19/11/2016 Tuition/Class XI-XII Tuition (PUC) Tuition/Class XI-XII Tuition (PUC)/Mathematics Sequences and Series

Find the 8th term of a geometric sequence for which a = -3 and r = -2?

Richa Kumari

384

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Answered on 28/11/2016 Tuition/Class XI-XII Tuition (PUC) Tuition/Class XI-XII Tuition (PUC)/Mathematics Sequences and Series

Write an equation for the nth term of the geometric sequence 3, 12, 48, 192,....?

Tapas Bhattacharya

Tutor

tn = 3 x 4^(n-1).

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Answered on 29/11/2016 Tuition/Class XI-XII Tuition (PUC) Tuition/Class XI-XII Tuition (PUC)/Mathematics Sequences and Series

Find the next two terms of each geometric sequence: 20, 30, 45, ....?

Tapas Bhattacharya

Tutor

Here, a = 20 and r = 30/20 = 45/30 = 3/2 = 1.5. So, next two terms are, 45 x 1.5 = 67.5 and 67.5 x 1.5 = 101.25.

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Answered on 29/11/2016 Tuition/Class XI-XII Tuition (PUC) Tuition/Class XI-XII Tuition (PUC)/Mathematics Sequences and Series

Which term is indicate by the number 20 in the arithmetic sequence: 8, 11, 14, 17, 20,...?

Tapas Bhattacharya

Tutor

5th term.

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Answered on 29/11/2016 Tuition/Class XI-XII Tuition (PUC) Tuition/Class XI-XII Tuition (PUC)/Mathematics Sequences and Series

Find the 14th term of the sequence a1 = 3, d = 7?

Tapas Bhattacharya

Tutor

For an arithmetic sequence: tn = a + (n-1)d = 3 + (14-1)7 = 3 + 13x7 = 94.

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Answered on 29/11/2016 Tuition/Class XI-XII Tuition (PUC) Tuition/Class XI-XII Tuition (PUC)/Mathematics Sequences and Series

Find the next four terms of arithmetic sequence: 12, 16, 20,....?

Tapas Bhattacharya

Tutor

24, 28, 32, 36.

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Answered on 29/11/2016 Tuition/Class XI-XII Tuition (PUC) Tuition/Class XI-XII Tuition (PUC)/Mathematics Sequences and Series

Find the four arithmetic means between 16 and 91?

Tapas Bhattacharya

Tutor

Here, the arithmetic means are p, q, r, and s. So, 16, p, q, r, s, 91, ..... are in A. P. in which t1 = 16, and t6 = 91. Solving , we can get, a = 16, d = 15. so, p = 16 + 15 = 31, q = 31+15 = 46, r = 46 + 15 = 61, s = 61 + 15 = 76. So, the arithmetic means are: 31, 46, 61, 76.

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Answered on 03/12/2016 Tuition/Class XI-XII Tuition (PUC) Tuition/Class XI-XII Tuition (PUC)/Mathematics Sequences and Series

Find the sum of series: 18 + 22 + 26 + 30 +..... + 50?

Sarvajeet Kumar

Tutor

306.

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