Question

Write first four terms of the AP, when the first term $a$ and the common difference $d$ are given as follows $a=-1.25,d=-\mathrm{0.25.}$

• A. First four terms of the given AP are $-1.25,-1.70,-1.95,-2.00$
• B. First four terms of the given AP are $-1.25,-1.50,-1.75,-2.00$
• C. Not an AP
  
• D. None of these
  

Answer 1

Answer: (B)

First four terms of the given AP are $-1.25,-1.50,-1.75,-2.00$

Given, $a=-1.25,d=-0.25$
$nth$ term=$a_n=a+(n-1)d$
$\therefore a_1=a=-1.25$
$a_2=a+d=-1.25+(-0.25)=-1.50$
$a_3=a+2d=-1.25+2\times (-0.25)=-1.75$
$a_4=a+3d=-1.25+3\times (-0.25)=-2.00$
Hence, four terms are $-1.25,-1.50,-1.75,-2.00$