Find the sum of all multiples of 8 between 350 and 650
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Answer:
Hey mate! Here's your answer:
Step-by-step explanation:
a = 352, d = 8, an = 648, n = ?, Sn = ?
a + (n - 1)d = an
352 + (n - 1)8 = 648
(n - 1)8 = 296
n - 1 = 37
n = 38.
Sn = (n/2){2a + (n - 1)d}
Sn = (38/2){2(352) + (38 - 1)8}
Sn = 19 * {704 + (37)8}
Sn = 19 * {704 + 296}
Sn = 19 * 1000
Sn = 19000.
So the sum of all multiples of 8 between 350 and 650 is 19000.
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