# Arithmetic Progressions (IMO- Mathematics Olympiad (SOF) Class 10): Questions 76 - 82 of 84

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## Question number: 76

» Arithmetic Progressions

MCQ▾

### Question

The value of is ________

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 77

» Arithmetic Progressions

MCQ▾

### Question

If up to n terms and n is even, then S equals________

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 78

» Arithmetic Progressions

MCQ▾

### Question

Let denotes the sum of n terms of an A. P. , whose first term is a. if the common difference d is given by then K is equal to ________ ________

### Choices

Choice (4) Response

a.

2

b.

1

c.

4

d.

3

## Question number: 79

» Arithmetic Progressions

MCQ▾

### Question

Product of the fourth term and the fifth term of an arithmetic progression is 594. Division of the ninth term by the fourth term of the progression gives quotient as 2 and the remainder as 3. Find the first term of the progression

### Choices

Choice (4) Response

a.

9

b.

6

c.

4

d.

7

## Question number: 80

» Arithmetic Progressions

MCQ▾

### Question

The sum of all terms of the arithmetic progression having ten terms except for the first term, is 81, and except for the sixth term, 55. Find the third term of the progression if the sum of the first and the fifth term is equal to 12.

### Choices

Choice (4) Response

a.

5

b.

15

c.

10

d.

8

## Question number: 81

» Arithmetic Progressions

MCQ▾

### Question

If a, b, c are in A. P, then is equal to ________

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 82

» Arithmetic Progressions

MCQ▾

### Question

The sum of n terms of the three arithmetic progressions are . The first term of each is unity and the common differences are 1,2 and 3 respectively, then________.

### Choices

Choice (4) Response

a.

b.

c.

d.

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