In proving statements using the coordinate method, the placement of the figure can simplify the _____ work?
1 answer:
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Answer:
4600
Step-by-step explanation:
There is a common difference d between consecutive terms in the sequence, that is
d = - 2 - (- 6) = 2 - (- 2) = 6 - 2 = 4
This indicates the sequence is arithmetic with sum to n terms
=
[ 2a₁ + (n - 1)d ]
where a₁ is the first term and d the common difference
Here a₁ = - 6 and d = 4 , thus
=
[ (2 × - 6) + (49 × 4) ]
= 25(- 12 + 196)
= 25 × 184
= 4600