Fix this by simply adding 3 in the formula. However, notice that this formula is off by 3 for every number in the given sequence. Since each number is six more than the last, the formula will be something like f( n)=6 n. A much easier method is to find a formula f( n) for the nth number in the sequence and then plug in 23 for n. Thus, a straightforward way to calculate the 23rd term is to write out the first 23 terms in the sequence, but this would be very tedious. The pattern is that every number is six more than the last. Thus, the sequence should be -4, -2, 0, 2, 4.ħ. In particular, for every positive number in the sequence is a corresponding negative number. Therefore, in order for the sum to be zero, half of the numbers must be negative. If all of the numbers in a sequence are positive, then the sum of the sequence will also be positive. A sequence of five consecutive even numbers is a sequence of even numbers such that the difference between one number and the next is always 2. Therefore, the first six numbers in the sequence are 2, 6, 18, 54, 162, 486.Ħ. To find the second number, multiply 2 by 3.Ĭontinue this process of multiplying by 3 to find the next four numbers in the sequence. As the problem states, the first number is 2. Therefore, the first six numbers in the Fibonacci sequence are 0, 1, 1, 2, 3, 5.ĥ. Add them to find the third number in the Fibonacci sequence.Ĭontinue this process of adding consecutive terms in the sequence to find the next three numbers in the sequence. As the problem states, the first two numbers are 0 and 1. The pattern is that every number is half of the previous number. If x represents the first term, subsequent terms are x + 2, x + 4, x + 6, and x + 8. One way to find the correct sequence is to set up and solve an equation. The pattern is that every number is eight more than the last. Find the 31st term in the sequence below.ġ. Determine the next number in the sequence.ġ0. Write the next four numbers in the sequence below.ĩ. ![]() Find the 23rd term in the sequence below.Ĩ. Write a sequence of five consecutive even numbers that add to 0.ħ. ![]() Write the first six numbers in a sequence in which every number is three times the previous number and the first number is 2.Ħ. Write the first six numbers in the Fibonacci sequence.ĥ. After that, each number is the sum of the previous two. The first two numbers in the Fibonacci sequence are 0 and 1. Determine the next number in the sequence.Ĥ. Write a sequence of five consecutive even numbers that add to 60.ģ. Determine the next number in the sequence.Ģ. At Level Three students should also have experience with counting sequences in tenths, for example 4.6, 4.7, 4.8, 4.9, 5.1. for example ten thousand removed from a set of 701 000 results in 691 000 objects left. This also applies to the sequence in tens, hundreds, thousands, etc. An important part of knowing these sequences is being able to name the number before and after a given number since this relates to taking an item off or putting an item onto an existing set, for example If a set contains 43 560 items, 43 559 items are left if one is removed and 43 561 items are in the set if one is added. ![]() ![]() At Level Three students should know these sequences in multiples of one, ten, for example 358, 348, 338., one hundred, for example 247, 347, 447., one thousand, etc. This means students will know the forward number word sequence for whole numbers is the counting pattern of words and symbols, 0, 1, 2, 3, 4., ∞ (infinity) while the backward sequence is the pattern 1000 000, 999 999, 999 998, 999 997.
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