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algol13
2 years ago
9

Which expression represents the value of the series below? 3+ 7 + 11 + 15 + ... + 1,671

Mathematics
1 answer:
torisob [31]2 years ago
4 0

Answer:

Step-by-step explanation:

This is an Arithmetic Series with common difference 4 and first term 3

so the nth term an = 3 + (n -1)4

= 4n - 1.

The sum of n terms

= n/2 (a1 + L)

= n/2(3 + 1671)

=  837n.

There are (1671-3) / 4 + 1 = 418 terms in the series,

so the total value of the series is 837*418

= 349,866.

.

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