Answer:
671 is the 224th term of the given series
Step-by-step explanation:
The given sequence is
2,5,8,11....
First term that is 2
common difference that is 3
we have to find 224th term
That is n =224
using [tex]a_n=a+(n-1)d[/tex]
[tex]a_{224}=2+(224-1)3[/tex]
On solving the above equation we get
[tex]a_{224}=671[/tex]
Hence, 224th term of the given series is 671
Answer:
Function rule for the arithmetic sequence is; [tex]a_n = a+(n-1)d[/tex]
The 224th term of the arithmetic sequence is: 671
Step-by-step explanation:
Arithmetic sequence: A sequence of number which increases or decreases by a constant amount each term.
Formula for nth term of arithmetic sequence is:
[tex]a_n = a+(n-1)d[/tex]
where a is the first term in the sequence, d is the common difference and n is the number of terms;
Given an arithmetic sequence:
2, 5 , 8, 11, ......
First term(a) = 2
Common difference(d) = 3 (Because the difference between the two consecutive terms is 3) i,e
5-2 = 3
8-5 = 3
11 -8 =3 ans so on,....
To find the 224th term;
we have,
a = 2 , d = 3 and n = 224
Using formula for nth arithmetic sequence;
[tex]a_{224} = 2+(224-1)(3)[/tex]
[tex]a_{224} = 2+(223)(3)[/tex]
[tex]a_{224} = 2+669[/tex] =671
therefore, the 224th term for the given arithmetic sequence is, 671
