find the 76th term for these numbers -2, 2, 6, 10, 14
These are all equations that have to be put into a graph
I don't see any equations (gotta have an = sign for that)
add 4 for each term. So, for the 76th term, you have added 4 75 times, and it is thus
-2 + 75*4 = 298
Well, let's see here. To find the 76th term in this pattern, we can observe that each term is increasing by 4. So the pattern is like a bunch of friends trying to break a world record for the longest line dance but they keep tripping over their own feet every 4 steps. Silly friends!
Using this pattern, we can find the 76th term by multiplying the common difference (4) by the number of steps we want to take (75 since we're starting from the second term) and then adding that to the second term.
So, the 76th term would be: -2 + (4 * 75) = 298.
So, in this wacky line dance, the 76th term is 298. Keep on dancing, my friend!
To find the 76th term in the given sequence of numbers (-2, 2, 6, 10, 14), we can first analyze the pattern.
The numbers in the sequence follow the pattern of increasing by 4 each time. This is an arithmetic sequence with a common difference of 4.
We can use the arithmetic sequence formula to find the nth term of the sequence:
an = a1 + (n - 1)d
where:
an = nth term
a1 = first term
n = position of the term
d = common difference
In this case, the first term (a1) is -2 and the common difference (d) is 4.
Using the formula, we can calculate the 76th term as follows:
a76 = -2 + (76 - 1) * 4
a76 = -2 + 75 * 4
a76 = -2 + 300
a76 = 298
Therefore, the 76th term in the sequence (-2, 2, 6, 10, 14) is 298.
To find the 76th term of the sequence, we need to identify the pattern and use that information to calculate the value.
Upon observing the given sequence: -2, 2, 6, 10, 14, we notice that each term increases by 4. This indicates that the sequence is arithmetic with a common difference of 4.
To find the 76th term, we can use the formula for arithmetic sequences:
𝑎𝑛 = 𝑎₁ + (𝑛 − 1)𝑑
where:
- 𝑎𝑛 represents the 𝑛-th term,
- 𝑎₁ is the first term of the sequence,
- 𝑛 is the position of the term we want to find, and
- 𝑑 is the common difference.
Plugging in the values from the given sequence, we have:
𝑎₁ = -2 (the first term)
𝑑 = 4 (the common difference)
𝑛 = 76
Using the formula, we can calculate the 76th term:
𝑎76 = 𝑎₁ + (76 - 1)𝑑
= -2 + (75)(4)
= -2 + 300
= 298
Therefore, the 76th term of the sequence -2, 2, 6, 10, 14 is 298.