What is the sum of the integers from -90 to 95, inclusive? Choose the correct choice from the following options.
A) 450  B) 550  C) 650  D) 750  E) 465
In an arithmetic progression,   the nth term is given by tn=a+(n-1)d   here tn=95, a=-90, d=1   hence, 95=-90+(n-1)   or n=186   Sum of n terms can be calculated by sn=n/2(a+l)   a=first term, l=last term, n=no. of terms   sn=186*(-90+95)/2   sn=186*5/2= 
<gadget id="calculator">186*5/2</gadget>
<output>465</output>
465   Answer : 465
<result>E</result>
What is the sum of the integers from -90 to 95, inclusive?