Embibe Experts Solutions for Chapter: Arithmetic Progressions, Exercise 1: Gujarat Board-2018

The sum of $3$ consecutive terms of an A.P. is $48$. The product of its first and last term is $252$. $\therefore d=$_____

If $a,b,c$ are three consecutive terms of A.P., the arithmetic mean of $a$ and $c$ is $b$, then $b=$_____

For A.P., $S_n-2S_{n-1}+S_{n-2}=$_____

For an A.P. if $T_3=8$ and $T_7=24$, then $T_{10}=$ _____.

If $x+2, 3x-1, 4x+1$ are the consecutive terms of an A.P. then $x=$ _____.

If $5+7+9+.......n=437$ then $n=$ _____.

For an $A.P. 1, 1.5, 2, 2.5, .......$ find the sum of first $16$ terms.

Find ${10}^{th}$ term of an $A.P. 115, 100, 85, 70, .....$