Theme: Sequences...
  • What is the nth term in the sequence: 4, 7, 12, 19, 28 show working out
  • What is the next term in the geometric sequence 16, –4, 1, –(1/4), …?
  • A sequence has an initial value of 10 and each term is twice the previous term. Which function models this sequence?1) a(n)=10(2)^n2) a(n)=10(2)^n-13) a(n)=10+2n4) a(n)=10+2(n-1)
  • Yolanda owns 4 rabbits. She expects the number of rabbits to double every year. a) after how many years will she have 64 rabbits?b) write and equation to model this situationShow work
  • What is the sum of the first 50 natural numbers? How to solve it without adding 50 digits?
  • If the first term of an arithmetic sequence is 4 and the third term is 18, what is the 23rd term? A. 92 B. 116 C. 158 D. 161
  • What is the next in the sequence 2 6 3 8 6 12
  • Find the correct sum of these geometric series. *a1=343, an=-1, r= -1/7 *a1=80, n=7, r= -1/2 *a1= 3, a8=384, r=2
  • The sum of 3 consecutive odd integers is 87. Find the equation used to solve this problem and the three integers.
  • A sequence {an} is generated by the recursive formulas a1 = 5 and an = an-1 + 5(-1)n. Find, a343, the 343rd term of the sequence
  • You begin with $25 in a savings account and $50 in the checking account. Each week you deposit $5 into savings and $10 into checking. After how many weeks is the amount in checking twice the amount in savings? write and solve an equation.
  • find the rule to this sequence 1,2,3,5,8,13,21. Is it the Fibonacci sequence?
  • How is the fibonacci sequence of numbers generated
  • In the sequence below the first term is 2 and each term after the first is k times the preceding term where k is a constant. What is the value of the 52nd term divided by the 50th term?heres the answer to this question but can someone explain more clearly how to get this answer I still don’t understand the explanation given. The correct answer is 36. Since each term after the first is k times the preceding term, and 2 and 12 are the first and second terms, respectively, it follows that 2k = 12, or k = 6. Thus each term in the sequence after the first is 6 times the preceding term. Hence the 51st term of the sequence is 6 times the 50th term, and the 52nd term of the sequence is 6 times the 51st term. So if the value of the 50th term of the sequence is called x, the value of the 51st term is 6x, and the value of the 52nd term is 6(6x) = 36x. Therefore, the value of the 52nd term divided by the 50th term is 36.
  • Find the indicated term of each arithmetic sequence. 37th term: a(1)=-3; d=2.8
  • Phillip received on a project for school. He can make changes and receive two-tenths of the missing points back. He can make corrections as many times as he wants. Create the formula for the sum of this geometric series, and explain your steps in solving for the maximum grade Phillip can receive. Identify this as converging or diverging.
  • Paulo makes a sequence of numbers. He chooses a starting number and then subtracts equal amounts each time. The third number in his sequence is 45. The tenth number is -32. What is the first number in his sequence. Show your method.
  • How can you use an equation to make a prediction from a pattern? Equation > pattern > prediction What are some predections
  • Determine whether each sequence appears to be an arithmetic sequence. If so find the common difference and the next 3 terms. 3.) 2.1, 1.4, 0.7, 0, 4.) 1, 1, 2, 3. 5.) 0.1, 0.3, 0.9, 2.7.
  • Finish the sequence 1,1,2,3,5,8,_,_,_
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