1-2+3-4+.........s30=?
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Hey dear,
◆ Answer -
1 - 2 + 3 - 4 + ... - 30 = -15
● Explaination -
Given sequence is -
S = 1 - 2 + 3 - 4 + ... -30
Let's divide this sequence into two APs for convenience -
S1 = 1 + 3 + 5 + ... + 29
S2 = -2 - 4 - 6 - ... - 30
For 1st AP, n = 15, a = 1, l = 29
S1 = n/2 (a + l)
S1 = 15/2 × (1+29)
S1 = 15/2 × 30
S1 = 225
For 2nd AP, n = 15, a = -2, l = -30
S2 = n/2 (a + l)
S2 = 15/2 × (-2-30)
S2 = 15/2 × (-32)
S2 = -240
Total sum is given by -
S = S1 + S2 = 225 - 240 = -15
Therefore,
1 - 2 + 3 - 4 + ... - 30 = -15
Best luck dear..
Answered by
0
1 प्लस 2 प्लस 3 प्लस एच 30 इसका आंसर क्या है
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