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Help me guys. I don’t get this one. Thank you

Help me guys. I don’t get this one. Thank you-example-1

1 Answer

5 votes

Answer:

207

Explanation:

The sum to n terms of an arithmetic sequence is


S_(n) =
(n)/(2) [ 2a₁ + (n - 1)d ]

where a₁ is the first term and d the common difference

Here a₁ = 37 and d = 34 - 37 = - 3 , thus


S_(18) =
(18)/(2) [ (2 × 37) + (17 × - 3) ]

= 9( 74 - 51)

= 9 × 23

= 207

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