As whole number integers?
4(1) + 1
= 5
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4(2) + 1
= 9
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4(3) + 1
= 13
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4n + 1 = 12 + 5n First, let's get all n terms on one side and all non-n terms on the other side. Start off by subtracting 4n from each side. 1 = 12 + n Now subtract 12 from each side. -11 = n
Starting from 1, your get: [4n + 5] = 9, 13, 17, 21, 25 Basically you find the first one and add 4 each time.
20n2+6n-2 (4n + 2)(5n -1) This problem can be solved by FOILing. First, multiply the first terms to get 20n2 Next, multiply the outside terms to get -4n. Multiplication of the inside terms results in 10n. Combining -4n and 10n (they are like terms) is 6n. Then, multiply the last terms, to get -2. Combining these answers into one equation gives the answer of 20n2+6n-2.
3 7 11
It is an expression that can be simplified to -4n-1
4n + 1 = 12 + 5n First, let's get all n terms on one side and all non-n terms on the other side. Start off by subtracting 4n from each side. 1 = 12 + n Now subtract 12 from each side. -11 = n
Starting from 1, your get: [4n + 5] = 9, 13, 17, 21, 25 Basically you find the first one and add 4 each time.
5
20n2+6n-2 (4n + 2)(5n -1) This problem can be solved by FOILing. First, multiply the first terms to get 20n2 Next, multiply the outside terms to get -4n. Multiplication of the inside terms results in 10n. Combining -4n and 10n (they are like terms) is 6n. Then, multiply the last terms, to get -2. Combining these answers into one equation gives the answer of 20n2+6n-2.
3 7 11
It is an expression that can be simplified to -4n-1
4n+13=1 -13 -134n=-12/4 /4n=-3
(4n + 1)*(2n + 6) = 8n2 + 26n + 6
1
n = 1 7n + 6n - 5 = 4n + 4 13n - 5 = 4n + 4 13n - 4n - 5 = 4n - 4n + 4 9n - 5 = 4 9n -5 + 5 = 4 + 5 9n = 9 n = 1
12+4n = 2n12+4n-4n = 2n-4n12 = -2n-1/2(12 = -2n)-6 = n
The first three terms of the nth term 4n-2 would be obtained by plugging in n=1, n=2, and n=3 into the expression. Therefore, the first term would be 4(1) - 2 = 2, the second term would be 4(2) - 2 = 6, and the third term would be 4(3) - 2 = 10. So, the first three terms are 2, 6, and 10 for the given nth term 4n-2.