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anonymous
 one year ago
Write the sum using summation notation, assuming the suggested pattern continues.
8  3 + 2 + 7 + ... + 67
anonymous
 one year ago
Write the sum using summation notation, assuming the suggested pattern continues. 8  3 + 2 + 7 + ... + 67

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IrishBoy123
 one year ago
Best ResponseYou've already chosen the best response.1this one is arithmetic, right? so what is the common difference?

IrishBoy123
 one year ago
Best ResponseYou've already chosen the best response.1yes so \(a_1 = 8\) \(a_2 = 8 + 1(5)\) \(a_3 = 8 + 2(5)\) we will want a general term for \(a_n\), the nth term in this sequence

IrishBoy123
 one year ago
Best ResponseYou've already chosen the best response.1can you have a go at that?

IrishBoy123
 one year ago
Best ResponseYou've already chosen the best response.1dw:1438707453164:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Would it be:\[\sum_{n=0}^{\infty}(8+5n) \]

IrishBoy123
 one year ago
Best ResponseYou've already chosen the best response.1if we are starting at n = 1, you need a small tweak

IrishBoy123
 one year ago
Best ResponseYou've already chosen the best response.1if term 1 is \(a_1\), with \(n = 1\)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0sum_{n=0}^{15}(8+5n) ?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[\sum_{n=0}^{15}(8+5n)\]

IrishBoy123
 one year ago
Best ResponseYou've already chosen the best response.1\(a_1=−8 = 8 +5(11)\) \(a_2=−8+(5)(21)\) \(a_3=−8+(5)(31)\)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0That's not an answer choice though. These are my answer choices: A. \[\sum_{n=0}^{15}(8+5n)\] B. \[\sum_{n=0}^{\infty}(40n)\] C.\[\sum_{n0}^{15}(40n)\] D. \[\sum_{n=0}^{\infty}(8+5n)\]

IrishBoy123
 one year ago
Best ResponseYou've already chosen the best response.1OK, they're doing it that way, with the first term as \(a_0\) not \(a_1\) in which case you go with your suggestion, \(8+5n\) and checking the value of \(n\) for the last term: \(8+5n = 67 \implies n = 15\)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Ok thanks! So it would be A?

IrishBoy123
 one year ago
Best ResponseYou've already chosen the best response.1\( \huge \checkmark \)
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