Series and Sequence (Binom+AP)

Series and Sequence (Binom+AP)

11th Grade

8 Qs

quiz-placeholder

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Series and Sequence (Binom+AP)

Series and Sequence (Binom+AP)

Assessment

Quiz

Mathematics

11th Grade

Practice Problem

Hard

Created by

Lee Wei

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8 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

For the following is an A.P.,

1, 3, 5, 7, ...

what is the nth term?

2n-1

1-2n

2n+1

None of the above.

2.

MULTIPLE CHOICE QUESTION

2 mins • 2 pts

Given an AP has 5th term equal to 20 and 9th term equal to 8. Find the nth term.

32-3n

35-3n

35-2n

32-2n

3.

MULTIPLE SELECT QUESTION

30 sec • 2 pts

Which of the following recurrence relation is an AP?

Un+1 - Un=7

Un+1 + Un=7

Un+1 - Un=1+2n

Un+1=Un + 2

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Given an AP with first term 8 and common difference d. Find the SUM of the first 10 terms.

10(8+10d)

10(16+10d)/2

10(8+9d)/2

10(16+9d)/2

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Find 1+4+7+...+(3n-2).

n(3n-1)/2

n(3n-2)/2

n(3n+2)/2

None of the above.

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If we used the binomal series (1-x)1/2=1-x/2 -x2/8 +... to approximate (17)1/2 we should let x=

-16

1/18

-1/16

-1/18

7.

MULTIPLE SELECT QUESTION

45 sec • 2 pts

Which sequence converges?

1, - 1/3, 1/9, - 1/27, ...

10, 10, 10, 10, ...

100, 97, 94, ...

2, -2, 2, -2, 2, ...

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