Question

Find the 59th term of the arithmetic sequence 29,37,45

Answer 1

Answer:

$T_{59}= 493$

Step-by-step explanation:

Given:

Arithmetic sequence

29, 37, 45............

n = 59

We need to find the 59 term of the arithmetic sequence.

Solution:

Using formula for nth term of arithmetic sequence.

$T_{n}= a + (n-1)d$ -------------(1)

Where:

a = first term of the sequence.

d = Common difference.

first find the the common difference of .

$d = a_{2}-a_{1}$

$d=37-29$

d = 8

Substitute a = 29, d = 8 and n = 59 in equation 1.

$T_{59}= 29 + (59-1)8$

$T_{59}= 29 + 58\times 8$

$T_{59}= 29 + 464$

$T_{59}= 493$

Therefore, 59th term of the arithmetic sequence $T_{59}= 493$

Answer 2

Answer:

the 59th term of the arithmetic sequence is T=493

Step-by-step explanation:

Here is prove