Arithmetic sequences

1003085205

Level:

Find the sum of the

10

th up to

20

th term of an arithmetic sequence given by:

a_{n + 1} = a_{n} + 2

for all

n \in N

and

a_{1} = - 4

264

240

480

- 320

- 352

1003085206

Level:

Find the sum of the first

15

positive terms of the arithmetic sequence:

{(3 n - 7)}_{n = 1}^{\infty}

345

255

238

260

322

1003085207

Level:

Given an arithmetic sequence

{a_{n}}_{n = 1}^{\infty}

, where

a_{5} = \frac{11}{2}

a_{10} = - 2

and

s_{k} = a_{1} + \dots + a_{k} = 15

, find

k

15

11

10

9

13

1003085209

Level:

The sum of the

2

nd and the

4

th term of an arithmetic sequence is

1.2

, the sum of the first

10

terms is

3.5

. Find the first term.

0.8

0.3

0.35

- 0.1

- 0.5

1003085210

Level:

The common difference of an arithmetic sequence

{a_{n}}_{n = 1}^{\infty}

- e

. Find the second term, if the sum of the

4

th term up to

9

th term is

6 π - 27 e

π

π + e

π - e

π - 2 e

e - π

1003097001

Level:

Find the first term of an arithmetic sequence

{a_{n}}_{n = 1}^{\infty}

, if:

\begin{aligned} a_{2} + a_{9} & = 24 \\ a_{8} - a_{6} & = 4 \end{aligned}

3

6

2

10

1

1003097002

Level:

Find the common difference of an arithmetic sequence

{a_{n}}_{n = 1}^{\infty}

, if:

\begin{aligned} a_{11} + a_{4} & = - 19 \\ a_{6} + a_{7} & = - 13 \end{aligned}

- 3

3

7

- 1

10

1003097003

Level:

Find the sum of the first five terms of an arithmetic sequence

{a_{n}}_{n = 1}^{\infty}

, if:

\begin{aligned} a_{1} \cdot a_{4} & = 100 \\ a_{2} + a_{6} & = 10 \end{aligned}

50

0

20

- 5

90

1003097004

Level:

Find the third term of an arithmetic sequence

{a_{n}}_{n = 1}^{\infty}

, if:

\begin{aligned} 2 a_{10} - 3 a_{3} & = 5 \\ 5 a_{5} + 4 a_{1} & = 83 \end{aligned}

9

7

1

3

11

1003097005

Level:

Find the square of the first term of an arithmetic sequence

{a_{n}}_{n = 1}^{\infty}

, if:

\begin{aligned} a_{2}^{2} + a_{3}^{2} & = 100 \\ a_{5} + a_{7} & = 0 \end{aligned}

100

196

64

169

200

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