Tags » Arithmetic Progression

x^4 + y^4 = z^4 - N with (x,y,z) in arithmetic sequence

with and in arithmetic sequence.

There are solutions of the form:

………. (1, 2, 3), (7, 8, 9)
………. (2, 4, 6), (14, 16, 18) 235 more words

Number Puzzles

Arithmetic Progression - Write A Program To Find SUM of AP C Programming Examples

Presented By Ingenuity Dias http://techinventory.blogspot.com/2015/12/arithmetic-progression-write-program-to.html

We re starting C Programming Tutorial Series.We will try to satisfy our readers by giving some quality content in this series. 180 more words

Ingenuity Dias

Sets of three prime numbers in arithmetic progression

1487, 4817, and 8147 are prime numbers.

and, 4817 and 8147 are digit permutations of 1487

and they are in arithmetic progression:

4817 – 1487 = 8147 – 4817 = 3330… 74 more words

Arithmetic Progression

Four consecutive terms of an AP

We know that if you multiply any four consecutive positive integers and add 1 to the product, you’ll get a square number.

The product of four consecutive terms of an arithmetic progression added to the fourth power of the common difference is always a perfect square… 26 more words

Number Puzzles

First Things First

I’m counting to infinity.
I started yesterday at three
And took a break at night to sleep
(But even then I counted sheep
And tallied, too, the several screams… 181 more words


Numbers in A.P. the sum of whose squares is a square

Numbers in arithmetic progressions – common difference d = 3 – the sum of whose squares is a square.

In this puzzle, the sequence needs to have at least 3 terms. 94 more words

Number Puzzles

(x,y,z) in Arithmetic Progression with x^2 – y^2 – z^2 = n

x, y, and z, are consecutive terms of an arithmetic progression,

For n = 27, the equation , has exactly two solutions.

And the equation , has exactly three solutions, for n = … 68 more words

Number Puzzles