Integers between 50 and 500 are divisible by 6
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shubhammohapatra16
shubhammohapatra16
25.03.2018
Math
Secondary School
+5 pts
Answered
Find the sum of all integers between 50 an 500 divisible by 7
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Rahul1708
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The required A.P is
56, 63, 70,.........., 497
a = 56
d = T2 - T1
d = 63 - 56
d = 7
Tn = a +(n-1)d
497 = 56 + (n-1)7
497-56 = (n-1)7
441/7 = n-1
63 +1 = n
n = 64 terms
Sn = n/2 (a+l)
S 64 = 64/2 ( 56 + 497)
S 64 = 32 x 553
S 64 = 17,696
Hence the sum of all integers between 50 and 500 divisible by 7 is 17,696
54,60,66,72,78,90,96,102,108,114,120,126,132,138,144,150,156,162,168,174,180,186,192,198,204,210,216,222,228,234,240,246,252,258,264,270,276,282,288,294,300,306,312,318,324,330,336,342,348,354,360,366,372,378,384,390,396,402,408,414,420,426,432,438,444,450,456,462,468,474,480,486,492,498