using distributive property. Solve the following
a)20*{(-30)+10}
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Answer:
The sequence is an Arithmetic Sequence (A.P). Applying the general formula for finding the sum of an AP
Sn = [n/2][2a + (n - 1)d]. Or
Sn = [n/2][a + l]
Where,
n = no. of terms in the sequence, a = the first term in the sequence, d = the common difference, and L = the last term of the sequence.
Since the last term is given in the question, we make use of the second formula….
Sn = [n/2][a + l]
a = 10, d = 10 (i.e. 20–10=30–20=40–30=…..), n = 100 (i.e. 1000/10), and l = 1000
So,
Sn = [100/2][10 + 1000]
Sn = [50][1010]
Sn = 50500
Therefore, the sum of the sequence is 50500
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