How to Write the First Four (4) terms of an Arithmetic Sequences
In previous video we learnt to check the Arithmetic progression now in this video we will learn to find the first four (4) terms of the Arithmetic Progression if we know the first term (a) and the common difference (d).
We can easily find any term if we know the first term and common difference of that arithmetic sequence its so easy 1 Don’t you believe just watch the video you will see how easy to find the first our terms of A.P.
And please don’t forget to take pen and notebook with you before watching the video.
So what do you say now ….. Yes it was easy
How to Find the First Terms
• First Term (A)is given by question
• Second term (A2) = first term (a) + Common Difference (d)
• Third Term (A3) = Second term (A2) + Common Difference (d)
• Fourth Term (A4) = Third Term (A3) + common Difference(d)
So actually it means, if you want any term suppose nth term then simply add common difference to its preceding term.
Nth term = (n-1)th term + common difference (d)
I hope you understand the trick in the video you might feel my some pronunciation problems, Please excuse me I m not native English speaker.
Well Friend Try these problems to finding some first term of Arithmetic Progressions.
Q 1. Write the Arithmetic Sequence (arithmetic progression) when first term is a and common difference is d.
1. a =4 d = -3
2. a = 99 d = -7
3. a = p d = q
4. a = – 6.5 d = -1.5
Q2 . Show that the sequence defined by nth term = 5n -7 is an Arithmetic progression, find its common difference.
Q3. Show that the sequence defined by nth term = 3n square -5 is not an Arithmetic Progression.
Q4.Find the common difference and write next two term of the following arithmetic progressions.
i. 51, 59, 67, 75, ….
ii. 1.8, 2.0, 2.2, 2.4, ….
iii. 0, 1/4, 1/2, 3/4, ……….
iv. 119, 136, 153, 170, ……………..