Find the 79th term in the sequence

In summary, the formula for finding the 79th term in a sequence is a(n) = a(1) + (n-1)d, where a(1) is the first term in the sequence and d is the common difference between each term. An example is provided to clarify the process, where the 79th term is found to be 237. If the sequence follows a specific pattern, it may be easier to directly plug in 79 for n in the formula. However, this may not work for all sequences. The first term in the sequence is necessary to accurately find the 79th term using the formula. There is no limit to the length of a sequence that can be used with this formula, as long
  • #1
karush
Gold Member
MHB
3,269
5
Find the 79th term in the sequence - 7, - 4, - 1
$$a_n=a_1+\left(a_n-1 \right)d$$
$$n=79,\ \ a_1=-7, \ \ d=-3$$
$$a_{79}=-7+\left(79-1\right)\left(3\right)=227$$

I just followed an example?
 
Mathematics news on Phys.org
  • #2
karush said:
Find the 79th term in the sequence - 7, - 4, - 1
$$a_n=a_1+\left(a_n-1 \right)d$$
$$n=79,\ \ a_1=-7, \ \ d=-3$$
$$a_{79}=-7+\left(79-1\right)\left(3\right)=227$$

I just followed an example?

There is a typo
$a_n=a_1+\left(n-1 \right)d$

rest is OK
 
  • #3
Gotcha
 

FAQ: Find the 79th term in the sequence

What is the formula for finding the 79th term in a sequence?

The formula for finding the nth term in a sequence is a(n) = a(1) + (n-1)d, where a(1) is the first term in the sequence and d is the common difference between each term.

Can you provide an example to clarify how to find the 79th term in a sequence?

For example, if the first term in a sequence is 5 and the common difference is 3, the 79th term would be a(79) = 5 + (79-1)*3 = 237.

Is there an easier way to find the 79th term in a sequence?

If the sequence follows a specific pattern or rule, it may be easier to directly plug in 79 for n in the formula. However, this method may not work for all types of sequences.

Can the 79th term be found if the first few terms in the sequence are not given?

No, the first term in the sequence is necessary to find the 79th term using the formula. Without knowing the first term, the 79th term cannot be accurately determined.

Is there a limit to how long a sequence can be to find the 79th term?

No, the formula for finding the nth term in a sequence can be applied to any length of sequence, as long as the first term and common difference are known.

Similar threads

MHB Act.al.4 What is the 50th term
Replies
3
Views
2K
MHB GCD of Two Specified Sequences of Numbers: Conditions for Equality
Replies
1
Views
2K
MHB Arithmetic Progression: Expressing d in Terms of x,y,z,n
Replies
1
Views
1K
I Please Post Your Favorite Infinite Product (or Application Thereof)
Replies
20
Views
1K
MHB Geometric Sequence find the 23rd term.
Replies
3
Views
2K
MHB Sequence Challenge: Prove $a_{50}+b_{50}>20$
Replies
1
Views
996
MHB Thank you! I'm glad it was helpful.
Replies
2
Views
1K
MHB Mahesh's question via email about Laplace Transforms (2)
Replies
1
Views
10K
Insights Reduction of Order For Recursions
Replies
4
Views
3K
MHB Find the 18th term in the sequence:
Replies
5
Views
2K

Hot Threads

Recent Insights

Back
Top