Following are APs or not with solution
square root of 2 space end root+square root of 6+square root of 10+square root of 14+..............................+367

Asked by vijaypareek157 | 4th Dec, 2015, 02:33: PM

Expert Answer:

C o n s i d e r space t h e space g i v e n space s e r i e s colon square root of 2 plus square root of 6 plus square root of 10 plus square root of 14 plus... L e t space u s space f i n d space t h e space d i f f e r e n c e s colon square root of 6 minus square root of 2 equals square root of 3 square root of 2 minus square root of 2 square root of 10 minus square root of 6 equals square root of 5 square root of 2 minus square root of 3 square root of 2 square root of 14 minus square root of 10 equals square root of 7 square root of 2 minus square root of 5 square root of 2 F r o m space t h e space a b o v e space i t space i s space c l e a r space t h a t comma space square root of 7 square root of 2 minus square root of 5 square root of 2 not equal to square root of 5 square root of 2 minus square root of 3 square root of 2 not equal to square root of 3 square root of 2 minus square root of 2 H e n c e space t h e space g i v e n space s e r i e s space i s space n o t space a n space A P.

Answered by Vimala Ramamurthy | 4th Dec, 2015, 03:40: PM