The sequence root3, root 6, root 9, root 12, form an arithmetic progression? Give reason.

Asked by ruparupasri77 | 22nd Sep, 2020, 12:44: PM

Expert Answer:

To check whether the series root 3, root6, root9, root12,.. form an Arithemetic progression or not.
Here comma
square root of 6 minus square root of 3 equals square root of 3 cross times square root of 2 minus square root of 3 equals square root of 3 open parentheses square root of 2 minus 1 close parentheses
square root of 9 minus square root of 6 equals 3 minus square root of 3 cross times square root of 2 equals square root of 3 open parentheses square root of 3 minus square root of 2 close parentheses
square root of 12 minus square root of 9 equals 2 square root of 3 minus 3 equals square root of 3 open parentheses 2 minus square root of 3 close parentheses
So comma space every space time space the space difference space between space consecutive space terms space is space different
So comma space the space common space difference space does space not space exist.
Hence comma space the space given space series space is space not space an space straight A. straight P.

Answered by Renu Varma | 22nd Sep, 2020, 12:58: PM