Question

Choose as many that apply:

A progression is: any list of numbers, an arrangement of quantities whose positions are based upon the natural numbers, a summation of quantities based upon a sequence, new discoveries in mathematics.

Answer 1

A summation of quantities based upon a sequence, and an arrangement of quantities whose positions are based upon the natural numbers

Explanation:

It cannot be "Any list of numbers" because a progression only contains natural numbers, meaning no decimals or fractions. It is also not a new discovery in mathematics.

Answer 2

a progression is a summation of quantities based upon a sequence.

Explanation:

example of a progression

1,4,7,10,13,16,.........

a1=1

a2=4

a3=7

difference =d=a2-aq=4-1=3

similarly

d=a3-a2=7-4=3

we can clearly see that there is a difference of 3 between two consecutive terms of a progression

on the other hand successive terms of a progression can be obtained by adding a unique value in backward term to get successive term.

hence a progression is a summation of quantities based upon a sequence