Question

The first three terms of a sequence are given. Round to the nearest thousandth (if necessary) 210,206,202,... Find the 35th term.

Answer 1

To find the 35th term of the given sequence, the common difference is determined and the formula for arithmetic sequence is used.

Step-by-step explanation:

To find the 35th term of the given sequence, we need to determine the pattern of the sequence. From the first three terms, we observe that each term is decreasing by 4. Therefore, the common difference of the sequence is -4. We can use this pattern to find the 35th term.

First term = 210

Common difference = -4

n = 35

Now we can use the formula for arithmetic sequence to find the 35th term:

Tn = a + (n-1)d

T35 = 210 + (35-1)(-4)

T35 = 210 - 136

T35 = 74

Therefore, the 35th term of the sequence is 74.