Finite Series Exercises 13.1

Today our topic of discussion is Finite Series Exercises 13.1.

$Finite Series Exercises 13.1$

Exercise 13.1

1) 10

2) 13

3) 15

4) 20

(i) is a finite series (ii) is a geometric series

(iii) 19th term of the series is 59

which one of the following is correct?

1) i and ii

2) i and iii

3) ii and iii

4) i, ii and iii

Based on the following information answer questions 3 – 4.

7 + 13 + 19 + 25 +*** is a series.

1) 85

2) 91

3) 97

4) 104

1) 141

2) 1210

3) 1280

4) 2560

$Finite Series Exercises 13.1$

Find common difference and the 12th term of the series 2 – 5 – 12 – 19 -***
Which term of the series 8 + 11 + 14 + 17 +*** is 392?
Which term of the series 4 + 7 + 10 + 13 +*** is 301?
If the mth term of an arithmetic series is n and nth term is m, what is the (m + n) * t term of that series?
What is the sum of first n terms of the series 1 + 3 + 5 + 7 +***7
What is the sum of first 9 terms of the series 8 + 16 + 24 +***?
5+11+17+23++59= what?
29+25+21+ -23= what?
If the 12th term of an arithmetic series is 77, what is the summation of the first 23 terms of that series?
If the 16th term of an arithmetic series is -20, what will be the sum of the first 31 terms?
The sum of the first n terms of the series 9+7+5+*** is – 144 . Find the value of n.
The sum of the first n terms of the series 2 + 4 + 6 + 8 +*** is 2550. Find the value of n.
If the sum of the first n terms of a series is n(n + 1) , find the series.
If the sum of the first n terms of a series is n(n + 1) , what is the sum of the first 10 terms?
If the sum of 12 terms of an arithmetic series is 144 and the first 20 terms is 560, find the sum of the first 6 terms.
The sum of the first m terms of an arithmetic series is n and the first n terms is m. Find the sum of the first (m + n) terms.

If the pth, qth and rth term of an arithmetic series are a, b, c respectively, show that a(q – r) + b(r – p) + c(p – q) = 0
Show that, 1 + 3 + 5 + 7 +***+125=169+171+173+***+209
A man agrees to refund the loan of Tk. 2500 in some installments. Each installment is Tk. 2 more than the previous installment. If the first installment is Tk.1, in how many installments will the man be able to refund that amount?
The Ith term of an arithmetic series is 12 and the kth term is k² .

$Finite Series Exercises 13.1$

1) Construct two equations according to the information of the stem considering a as the first term of the series and d as common difference.

2) Find the (1+k) th term.

3) Prove that summation of the first (l + k) terms of the series is (l + k)/2 (l² + K²+ l + k)

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