4, 8, 12
As whole number integers? 4(1) + 1 = 5 ------ 4(2) + 1 = 9 ----- 4(3) + 1 = 13 -------
1
4n+13=1 -13 -134n=-12/4 /4n=-3
4n2 + 11n - 3The following method is mathematically correct but may not be taught in school so be careful about using it.Multiply the last term by the coefficient of the first term:4n2 + 11n - 12Reduce the power of n in the first term by one and write them as the first terms in two binomial expressions:(4n )*(4n ).Find 2 factors of the last term (12), and since it is negative, the difference between these two factors should be the middle term (1 and 12). The larger of these takes the same sign as the middle term (so +12) and the other takes the opposite sign (-1).Write these as the second terms in the binomial expressions.(4n +12)*(4n - 1).Finally, divide out the 4 from the first bracket [this is to offset the earlier multiplication by 4] to give the answer:(n + 3)*(4n - 1)
4, 8, 12
4n+3 For n = 1, the expression evaluates to 4+3 = 7 For n = 2, the expression evaluates to 8+3 = 11 For n = 3, the expression evaluates to 12+3 = 15
As whole number integers? 4(1) + 1 = 5 ------ 4(2) + 1 = 9 ----- 4(3) + 1 = 13 -------
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.
4n-1 = 3
10*4n - 1 = 40n - 1 So t(1) =39 t(2) = 79 t(3) =119 t(4) = 159
1
4n+13=1 -13 -134n=-12/4 /4n=-3
4n2 + 11n - 3The following method is mathematically correct but may not be taught in school so be careful about using it.Multiply the last term by the coefficient of the first term:4n2 + 11n - 12Reduce the power of n in the first term by one and write them as the first terms in two binomial expressions:(4n )*(4n ).Find 2 factors of the last term (12), and since it is negative, the difference between these two factors should be the middle term (1 and 12). The larger of these takes the same sign as the middle term (so +12) and the other takes the opposite sign (-1).Write these as the second terms in the binomial expressions.(4n +12)*(4n - 1).Finally, divide out the 4 from the first bracket [this is to offset the earlier multiplication by 4] to give the answer:(n + 3)*(4n - 1)
Well, honey, the first five terms for the sequence 4n + 7 are 11, 15, 19, 23, and 27. Just plug in n = 1, 2, 3, 4, 5 and you'll get those numbers. Math can be a piece of cake if you just follow the recipe!
The first 6 terms would be when n is 1, 2, 3, 4, 5, and 6. And since the nth term is 3 - 4n, you would simply substitute the first six numbers for n:* n = 1; 3 - 4(1); 3 - 4; -1 * n = 2; 3 - 4(2); 3 - 8; -5 * n = 3; 3 - 4(3); 3 - 12; -9 * n = 4; 3 - 4(4); 3 - 16; -13 * n = 5; 3 - 4(5); 3 - 20; -17 * n = 6; 3 - 4(6); 3 - 24; -21 -1, -5, -9, -13, -17, -21
4n + 3 = 15 4n +3 - 3 = 15 - 3 4n = 12 4n/4 = 12/4 n = 3