How to find the value of the number sentence 100-97+94-91+88-85......+4-1 ?
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Answer:
there are two AP
100+94+88+82...........+4
-{97+91+85 ...... +1}
sum of AP is
4=100+(n-1) d
-96=(n-1) -6
n=17
then
sum is
17/2×{200+16×-6}
=17×104
=1768
similarly
in 2nd AP
1=97+(n-1) ×-6
n=17
sum is
17/2×{194+16×-6}
=17/2×98
=17×49
=833
sum is 1768-833
=935
ok
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m e
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