Question

the valui of the equation 1-6+2-7+3-8.. ..... to 100 s​

Answer 1

Answer:

0

Step-by-step explanation:

Answer 2

Answer:

(1+2+3+...50 terms)-(6+7+8...50 terms) ------------ equation 

so now these are in ap

for (1+2+3+...50 terms) n=50, a=1 and d=1

by the formula Sn = n/2(2a+(n-1)d)

                             =50/2(2(1)+(50-1)1)

                              =25(51) ---------------------- 1

similarly for (6+7+8...50 terms) n=50, a=6, d=1

by placing this in formula we get 50/2(2(6)+(50-1)1)

                                               = 25(12+49)

                                               = 25(61) --------2

by adding 1 and 2 we get the value by the equation formed at first

                      = 25(51)-25(61)

                      = 25(51-61)

                      = 25(-10)

                      = -250

therefore, the value of given expression is 250