Question

Write the term of the sequence given the first term and the commondifference.1) a = 5, d= -2 2) a = 50, d= 103) a =100, d= -904) a = 1/2, d=-1/25) a=x, d= -2x​

Answer 1

To find the term of a sequence given the first term and common difference, you can use the formula an = a + (n-1)d. Using this formula, I found the terms for each sequence provided.

Step-by-step explanation:

In a sequence, the term can be found using the formula:

an = a + (n-1)d

1. For the first sequence, a = 5 and d = -2. Using the formula, an = 5 + (n-1)(-2) = 5 - 2n + 2 = 7 - 2n
2. For the second sequence, a = 50 and d = 10. Using the formula, an = 50 + (n-1)(10) = 50 + 10n - 10 = 40 + 10n
3. For the third sequence, a = 100 and d = -90. Using the formula, an = 100 + (n-1)(-90) = 100 - 90n + 90 = 190 - 90n
4. For the fourth sequence, a = 1/2 and d = -1/2. Using the formula, an = 1/2 + (n-1)(-1/2) = 1/2 - (1/2)n + 1/2 = 1 - (1/2)n
5. For the fifth sequence, a = x and d = -2x. Using the formula, an = x + (n-1)(-2x) = x - 2xn + 2x = x(1 - 2n + 2)