Arethematic progression...
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The document defines and provides examples of number sequences, including arithmetic sequences. An arithmetic sequence starts with a number and each subsequent term is found by adding a common difference. The general form of an arithmetic sequence is Xn = an + b. The nth term is given by a + (n-1)d, where a is the first term and d is the common difference. Formulas are provided for calculating the sum of natural numbers, odd numbers, and the terms of an arithmetic progression.
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Arethematic progression...
- 2. ST. THOMAS TRAINING COLLEGE.
- 4. NUMBER SEQUENCE A collection of numbers written in order as the first, second, third and so on…
- 5. Number sequence from real life The petals of sunflower Holes of a honey comb Graiz on a maize cob The length of a the rungs of a ladder .
- 6. Examples… 1. 2 3. 100, 200, 300,… 4. 1,1,2,3,5,8,13,….
- 7. ARITHMETIC SEQUENCE A sequence which starts with any number(a) and proceed by addition of one number (d) again and again give arithmetic sequence (arithmetic progression)
- 8. Examples… 1, 2, 3, 4, 5…. ½ , 1 , 3/2 , 2 … 1 ,4, 7,10, 13… In general a, a+d, a+2d …..
- 9. Xn = an+b is general form of an A.P
- 10. nth term of an A.P a+(n-1)d Where a first term, d common difference
- 11. Sum of natural numbers n(n+1)/2
- 12. Sum of odd numbers
- 13. Sum of A.P S= n/2[2a+(n-1)d]