Answer:
[tex]T_{59}= 493[/tex]
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.
[tex]T_{n}= a + (n-1)d[/tex] -------------(1)
Where:
a = first term of the sequence.
d = Common difference.
first find the the common difference of .
[tex]d = a_{2}-a_{1}[/tex]
[tex]d=37-29[/tex]
d = 8
Substitute a = 29, d = 8 and n = 59 in equation 1.
[tex]T_{59}= 29 + (59-1)8[/tex]
[tex]T_{59}= 29 + 58\times 8[/tex]
[tex]T_{59}= 29 + 464[/tex]
[tex]T_{59}= 493[/tex]
Therefore, 59th term of the arithmetic sequence [tex]T_{59}= 493[/tex]
Answer:
the 59th term of the arithmetic sequence is T=493
Step-by-step explanation:
Here is prove
