## Michael J. Schlosser

*q*-Analogues of the sums of consecutive integers, squares,
cubes, quarts and quints

### (12 pages)

**Abstract.**
We first show how a special case of Jackson's
_{8}φ_{7} summation immediately gives
Warnaar's
*q*-analogue of the sum of the first *n* cubes,
as well as *q*-analogues of the sums of the
first *n* integers and first *n* squares.
Similarly, by appropriately specializing Bailey's terminating
very-well-poised balanced _{10}φ_{9} transformation
and applying the terminating very-well-poised _{6}φ_{5}
summation, we find *q*-analogues for the respective sums of the first
*n* quarts and first *n* quints. We also derive *q*-analogues
of the alternating sums of squares, cubes and quarts, respectively.

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