# MATH

posted by .

What value of p are
2p-1,7 and 3P three consecutive terms of ARITHMETIC PROGRESSION

• MATH -

What value of p are 2p-1, 7 and 3p three consecutive terms of an ARITHMETIC PROGRESSION?

Letting a = the common difference, we can write
1--(7 - a) = 2P - 1 and
2--(7 + a = 3p

Adding yields 14 = 5p - 1 from which p = 3 making the 3 terms 5, 7 and 9.

• MATH -

## Similar Questions

1. ### AP calculus

Given an arithmetic progression -7,-3,1,..., state three consecutive terms in this progression which sum up to 75.
2. ### Math

A sequence is called an arithmetic progression of the rst order if the di erences of the successive terms are constant. It is called an arith- metic progression of the second order if the di erences of the successive terms form an …
3. ### Math

5 distinct positive reals form an arithmetic progression. The 1st, 2nd and 5th term form a geometric progression. If the product of these 5 numbers is 124 4/9, what is the product of the 3 terms of the geometric progression?
4. ### Math (Geometric Progression)

5 distinct positive reals form an arithmetic progression. The 1st, 2nd and 5th term form a geometric progression. If the product of these 5 numbers is 124 4/9, what is the product of the 3 terms of the geometric progression?
5. ### math

I would need help with example: The sum of three consecutive terms of geometric progression is 9. The first number with no change, the second number plus 12 and the third number minus 3, are the 3 consequtive terms of arithmetic progression. …
6. ### math

The first, the third and the seventh terms of an increasing arithmetic progression are three consecutive terms of a geometric progression. In the first term of the arithmetic progression is 10 find the common difference of the arithmetic …
7. ### Maths

The numbers p,10 and q are 3 consecutive terms of an arithmetic progression .the numbers p,6 and q are 3 consecutive terms of a geometric progression .by first forming two equations in p and q show that p^2-20p+36=0 Hence find the …
8. ### Math, Series

Given that 1/(y-x), 1/2y, and 1/y-z are consecutive terms of an arithmetic progression, prove that x,y, and z are consecutive terms of a geometric progression.
9. ### Series

Given that 1/(y-x), 1/2y, and 1/y-z are consecutive terms of an arithmetic progression, prove that x,y, and z are consecutive terms of a geometric progression.
10. ### math!!

Three numbers are in an arithmetic progression; three other numbers are in a ge- ometric progression. Adding the corresponding terms of these two progressions yields 32, 26, and 32. The sum of the three terms of the arithmetic progression …

More Similar Questions