Given the values of two terms of an arithmetic sequence find the first four terms

👉 Learn how to determine the first five terms of an arithmetic sequence. A sequence is a list of numbers/values exhibiting a defined pattern. A number/value in a sequence is called a term of the sequence. An arithmetic sequence is a sequence in which each term of the sequence is obtained by adding a predetermined value, called the common difference, to the preceding term.

The formula for the nth term of an arithmetic sequence is given by An = a + (n - 1)d, where a is the first term, n is the term number and d is the common difference. We can obtain the common difference by subtracting a term from the succeeding term or if the known terms are not consecutive, we can obtain the common difference by dividing the difference of the two terms by the difference of their term numbers. Plugging the required values into the formula, we can obtain the first five-term or the required terms of the arithmetic sequence.

Organized Videos:
✅ Sequences
✅Sequences | Learn About
✅Determine The First Five Terms of The Arithmetic Sequence
✅How to Write The Formula for a Arithmetic Sequence
✅Find the nth Term of an Arithmetic Sequence
✅Find the First Five Terms of a Geometric Sequence
✅How to Write The Formula for a Geometric Sequence
✅Find the nth Term of a Geometric Sequence
✅How to Determine Arithmetic or Geometric Sequence
✅Find the First Five Terms of a Sequence
✅How to Write The Formula for a Sequence
✅Find the nth Term of a Sequence
✅How to Simplify Factorials
✅Recursive Sequences
✅Prove the Sum by Induction
✅Find the Given Term of Binomial Expansion
✅Binomial Expansion | Learn About
✅How to Expand a Binomial

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[brianmclogan]

sorry sometimes I get excited and talk to fast for my students.  Recording myself helps me see this as well as great students like yourself letting me know.

[brianmclogan]

To find the nth term you will have to plug it into the for formula for nth term an = a1 + (n-1)d where n is the number of terms and d is the difference of terms

[dannyabifalah]

been literally stuck on a problem like this for an hour, i had a1 and couldnt find a problem similar to mine...so all the other exmples were giving me wrong answers... youre a life saver!

[joshuaduca]

this really helps me to my study specially my test exam is about arithmethic sequence

[imhajin]

Im in 6th grade and this video literally changed EVERYTHING for me like wtf ifs so good i underatand everything

[moyare]

Easy way to find the difference is to change the terms into points and use slope formula (1, 2), (12, 46)

[christianbrown]

I had a problem that was similar, but my terms were a7=-8 and a10=1 my first 5 terms were
a1=-512
a2=256
a3=-128
a4=64
a5=-32
But all I was give was a7 and a10

[k-martinchannel]

where did you get the 46? I cant understand

[jayadevjoshi]

a=an-1/an-2 and a1=1and a2=3 find value of a3 and a4. Plz sir give me hint for solving this question please sir reply me plzz

[CRAZYGUY]

The third term of a geometric series is 10 and the fifth is 18. Find two possible values of the common ratio and the second term in each case. How do u do this question.

[darkferiousity]

Hey thanks for the great video just one question. If I have a problem where they give me the value but not the term say the value is -14 but I have to find the nth term and I am also given the first 3 terms of the sequence which would be 2.2, 2, 1.8, ... I know the common difference is -0.2 and I have found out that -14 is the 82 term but that was after subtracting 0.2 82 times which takes up alot of time I know that 5 x -0.2 = -1 so I just multiplied 14 x 5 = 70 + the first 12 terms

[brexxzy]

the comment section is making it more complicated HAHAHAH

[akaneyasuda]

what if you also dont know what a1 is?

[joshuaduca]

its like you only replacing the n to a number