zoyaxfj zoyaxfj

04-03-2019
Mathematics

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If the sum of the first n terms of sequence is (2n^2)+3, find the first two terms of the sequence

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jimrgrant1 jimrgrant1

04-03-2019

Answer:

5, 6

Step-by-step explanation:

Given the sum to n terms is

[tex]S_{n}[/tex] = 2n² + 3, then

[tex]S_{1}[/tex] = 2(1)² + 3 = 2 + 3 = 5 ⇒ [tex]a_{1}[/tex] = 5

[tex]S_{2}[/tex] = 2(2)² + 3 = 8 + 3 = 11

⇒ [tex]a_{2}[/tex] = 11 - 5 = 6

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