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Write the sum using summation notation, assuming the suggested pattern continues. -3 + 6 + 15 + 24 + ... + 132

User Jede
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2 Answers

3 votes

Answer:

1032

Explanation:

step see illustration

Write the sum using summation notation, assuming the suggested pattern continues. -3 + 6 + 15 + 24 + ... + 132-example-1
User RezKesh
by
8.6k points
0 votes

Answer:

1032

Explanation:

This is an arithmetic sequence (A.P). The sum of an Arithmetic sequence Sn may be expressed as

Sn = n/2(a + l)

where n is the number of terms in the sequence, a is the first term and l is the last term of the sequence.

l = a + (n - 1)d

where d is the common difference between the successive terms of the sequence

132 = -3 + (n - 1) (6 - -3)

132 = -3 + 9n - 9

9n = 132 +12

9n = 144

n = 16

Sn = S16 =16/2( -3 + 132)

= 8 * 129

= 1032

User WarFox
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