Question

Which term is number 28 in the number pattern described by:

"Start at 76 and subtract 3 each time."

A. t28

B. t17

C. t14

D. t18

Answer 1

To find the 28th term in the sequence starting at 76 and subtracting 3 each time, we apply the formula for arithmetic sequences and calculate that the 28th term is -5.

Step-by-step explanation:

To find the term number 28 in the number pattern described by "Start at 76 and subtract 3 each time," we can use the formula for the nth term of an arithmetic sequence: tn = a + (n - 1)d, where a is the first term and d is the common difference between the terms.

Here, a = 76 and d = -3. We want to find term number 28 (t28):

t28 = 76 + (28 - 1)(-3)
t28 = 76 - 27(3)
t28 = 76 - 81
t28 = -5

Therefore, the 28th term in the sequence is -5.