what is the algebraic form of the arithametic sequence of 4,12,20
Answers
Answered by
3
Answer:
(a+b)2=2a+(2ab)+ba
Step-by-step explanation:
- 4,12,20=(ab)=2+(2ab)
- =(2ab)+bad
- =2a+(2ab)+ba
Answered by
2
Given:-
- First term (a) = 4
To find:-
- Find the sum of n term of an Ap.?
Solutions:-
- Common difference => d =a2 - a1 = 12 - 4 = 8
We have,
The nth terms of an Ap = 8.
=> l = a + (n - 1)d
=> l = 4 + (n - 1)8
=> l = 4 + 8n - 8
=> l = 8n - 4
The sum of n term.
- Sn = n/2 [a + l]
=> Sn = n/2 × [4 + 8n - 4]
=> Sn = n/2 × 8n
=> Sn = n × 4n
=> Sn = 4n²
Hence, the sum of nth term is 4n².
Important formula:-
- A_n = a + (n - 1) d
- S_n = n/2 (a - l)
- S_n = n/2 [2a + (n - 1)] d
More information:-
- a = first terms
- d = common difference
- n = number of terms.
- l = last term
- a_n = nth term
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