Question

Describe the first term in an arithmetic sequence

Answer 1

As we know that Arithmetic Progression (AP) is a sequence of numbers in order in which the difference of any two consecutive numbers is a constant value.

The AP can also be written in terms of common difference, as given below

$\mathrm{a},\mathrm{a}+\mathrm{d},\mathrm{a}+2\mathrm{d},\mathrm{a}+3\mathrm{d},\mathrm{a}+4\mathrm{d},\dots \dots \dots .,\mathrm{a}+(\mathrm{n}–1)\mathrm{d}$
where “$a$” is the first term of the progression.

For example, Let us suppose the AP as , $5,9,13,17,21\dots ..$

Here, $\mathrm{First}\mathrm{term}\mathrm{is}5,\mathrm{Common}\mathrm{difference}\left(\mathrm{d}\right)=9-5=4$