Arithmetic Series
Storyboard-Text
- Arithmetic series is the sum of an arithmetic sequence. The series is infinite if the number of addends in the series is finite otherwise it is infinite
- You can see on the board the meaning of Arithmetic series and its formula
- To find the sum of the arithmetic series1. Sn= n(A1+An) 2 if An is given2. Sn+ n/2 [2a+(n-1)d] if An is not given
- 1. Find the sum of the first 20 terms of the sequence 3, 5, 7....Sn= 20/2 [2(3)+(20-1)2]= 10 [6+ (19) 2]= 10 (6 + 38)= 10 (44)S20= 440
- Let no.1 be our example and class let me remind you the assignment of our topic about Arithmetic Series that will be submitted tomorrow
- Noted Ma'am
- Assignment:Find the sum of the first 16 terms of the sequence 2, 5, 8, . . . .
- I should find out what solution to use by finding the variables A1=2, n=16, d=3
- I see that the given problem has no An. I should solve this by using the solution Sn=n/2 [2a + (n-1) d]
- First thing to do is to write the solution then Substitute and evaluate
- Sn= 16/2 [2(2) + (16-1) 3]=8 [4 + (15) 3]=8 (4 + 45)=8 (49)S16+ 392
- Pheww I'm done with my assignment
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