# Selecting Consecutive Terms in A.P

## Trending Questions

**Q.**

The angles of a triangle are in A.P. and the number of degrees in the least angle is to the number of degrees in the mean angle as 1 : 120. Find the angles in radians.

**Q.**

What is the next number in the series $0,6,24,60,120,210,$?

**Q.**The sides of a right angled triangle are in arithmetic progression. If the triangle has area 24, then what is the length of its smallest side?

**Q.**If the sum of two extreme numbers of an A.P. with four terms is 8 and product of remaining two middle term is 15, then greatest number of the series will be

- 5
- 7
- 9
- 11

**Q.**

Three number are in A.P. and their sum is 15. If 1, 3, 9 be added to them respectively, they form a G.P. Find the numbers.

**Q.**

If four numbers in A.P. are such that their sum is 50 and the greatest number is 4 times the least, then the numbers are

None of these

3, 7, 11, 15

5, 10, 15, 20

4, 10, 16, 22

**Q.**

The sum of all natural numbers which are divisible by 3 and less than 100 is

1863

1368

1763

1683

**Q.**

Find the four numbers in A.P. whose sum is 50 and in which the greatest number is 4 times the least.

**Q.**Find sum of n terms series :1×2×3+2×3×4+3×4×5+.....

**Q.**Let a, b, c, d be distinct real numbers such that a, b are roots of x2−5cx−6d=0, and c, d are roots of x2−5ax−6b=0. Then b+d is

- 180
- 144
- 126
- 162

**Q.**

The sum of each of two sets of three terms in A.P. is 15. The common difference of the first set is greater than that of the second by 1 and the ratio of the products of the terms in the first set and that of the second set is 7:8 the ratio of the smallest terms in two sets of terms is

None

34 or 1112

23 or 12

23 or 34

**Q.**

If the sum of three numbers in A.P. is 24 and their product is 440, find the numbers.

**Q.**The angles of a triangle are in A.P. and the number of degrees in the least angle is to the number of degrees in the mean angle as 1:120. Find the angles in radians.

**Q.**The sum of all distinct roots of the equation (x2−11x+29)(x2−8x+7)=1 is

- 12
- 16
- 17
- 19

**Q.**

In winter, the temperatures at a hill station from Monday to Friday are in A.P. The sum of the temperatures from Monday to Wednesday is $0$, while the sum of the temperatures on Thursday and Friday is $15$. Find the temperatures on each of the weekdays.

**Q.**Find the missing term in the following series.

0, 4, 18, 48, ?, 180

- 100
- 191
- 152
- 110

**Q.**

The value of p > 0, for which both the equations x2+px+64 = 0 and x2−8x+p = 0 have real roots is:

8

16

32

None

**Q.**If given 5 times the fifth term of an A.P. is equal to 8 times its eight term, show that its 13th term is zero.

**Q.**

The angles of a quadrilateral are in A.P. whose common difference is 10∘. Find the angles.

**Q.**In an A.P., the first term is 2 and the sum of the first five terms in one-fourth of the next five terms. Show that 20th term is −112.

**Q.**The degree measures of the angles in a convex 18-sided polygon form an increasing arithmetic sequence with integer values. If x is the degree measure of the smallest angle, then the number of divisors of x is

(correct answer + 3, wrong answer 0)

**Q.**Five numbers are in A.P., whose sum is 25 and product is 2520. If one of these five numbers is −12, then the greatest number amongst them is

- 212
- 16
- 7
- 27

**Q.**

The sum of all natural numbers which are divisible by 3 and less than 100 is

1863

1368

1683

1763

**Q.**

The sum of each of two sets of three terms in A.P. is 15. The common difference of the first set is greater than that of the second by 1 and the ratio of the products of the terms in the first set and that of the second set is 7:8 the ratio of the smallest terms in two sets of terms is

34 or 1112

23 or 12

23 or 34

None

**Q.**

Find the sum of the
first *n* terms of the series: 3 + 7 + 13 + 21 + 31 + …

**Q.**If n÷n =1 means then 0÷0 is also equals to 1

but y it can't be

**Q.**

If 1a, 1b, 1c are in A.P., prove that:

(i) b+ca, c+ab, a+bc are in A.P.

(ii) a(b+c), b(c+a), c(a+b) are in A.P.

**Q.**If the angles of a quadrilateral are in A.P. whose common difference is 10∘, then the angles of the quadrilateral are

- , , ,
- , , ,
- , , ,
- , , ,

**Q.**

If P(A) = 1/3, P(B) = 1/2 and P(A U B) = 2/3, then

1/4

4/3

1/3

1/2

**Q.**If roots of the equation x2−10cx−11d=0 are a, b and those of x2−10ax−11b=0 are c, d, then the value of a + b + c + d is (a, b, c and d are distinct numbers)