Find the best answers to your questions at Westonci.ca, where experts and enthusiasts provide accurate, reliable information. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform.
Sagot :
The answer is 286.
Explanation:
We first find the first term of the sequence, a₁. We use the explicit formula for an arithmetic sequence to do this:
[tex]a_n=a_1+d(n-1)[/tex]
We know the 6th term is 22; this means we substitute 6 in for n. We also know the common difference is 6, so we use that for d. That gives us a₆=a₁+6(6-1).
We know the value of the sixth term is 22, so we use that instead of a₆:
22=a₁+6(6-1).
Evaluating this, we have
22=a₁+6(5)
22=a₁+30.
Subtract 30 from both sides, and we have
22-30=a₁
-8=a₁.
We now use this value in our explicit formula:
[tex]a_n=-8+6(n-1)[/tex]
To find the fiftieth term we replace n with 50:
a₅₀= -8+6(50-1)
a₅₀= -8+6(49)
a₅₀= -8+294
a₅₀=286
Explanation:
We first find the first term of the sequence, a₁. We use the explicit formula for an arithmetic sequence to do this:
[tex]a_n=a_1+d(n-1)[/tex]
We know the 6th term is 22; this means we substitute 6 in for n. We also know the common difference is 6, so we use that for d. That gives us a₆=a₁+6(6-1).
We know the value of the sixth term is 22, so we use that instead of a₆:
22=a₁+6(6-1).
Evaluating this, we have
22=a₁+6(5)
22=a₁+30.
Subtract 30 from both sides, and we have
22-30=a₁
-8=a₁.
We now use this value in our explicit formula:
[tex]a_n=-8+6(n-1)[/tex]
To find the fiftieth term we replace n with 50:
a₅₀= -8+6(50-1)
a₅₀= -8+6(49)
a₅₀= -8+294
a₅₀=286
Answer:
286
Step-by-step explanation:
When solving this problem you need to use an explicit formula for an arithmetic sequence to properly answer this question. I hope this helped!❤
Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Westonci.ca is here to provide the answers you seek. Return often for more expert solutions.
