WITHOUT DOING ACTUAL CALCULATION, FIND THE SUM.
a)1+3+5+7+9+____+39+41
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STEP 1: Find the difference:
d = 3 - 1
d = 2
..................................................................................................
STEP 2: Total number of terms:
an = a1 + (n - 1)d
41 = 1 + (n - 1) (2)
41 = 1 + 2n - 2
2n = 41
n = 21
...................................................................................................
STEP 3: Find the sum:
Sn = n/2 (a1 + an)
Sn = 21/2 (1 + 41)
Sn = 441
...................................................................................................
Answer : The sum of the series is 441.
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