Basics of Mathematics for Standard 10 /Grade 10

Posted by Anil Satpute
Education
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Dear Students,


Download following files for learning Formulas more effectively. Take the print out of these files and write your answers daily to improve your scores in 10th standard/grade.
[ Note: The following 2 files are available in the secured drive. While downloading, your email might be asked. Please provide it to download the files. I assure that your email-id will not be given to anybody ]

1) Algebra Formulas
2) Geometry Formulas


In the Previous Blog we had seen some important concepts of Arithmetic & Geometric Progression. Click HERE to Revise that Blog.


In this Blog, we Describe the Important Formulas of an AP & GP.
1) tn =  a + (n - 1) d 
2) Sn = n * (a + l)/2
3) Sn = n * [ 2 a + (n - 1) d ) ] / 2

Now we will see some examples:

Problems related to tn =  a + (n - 1) d:

A) Find nth term of an AP 3, 5, 7, 9 ...

Solution:
1)  Here a = 3, d = (5 - 3) = 2 so, d = 2.
2)  We know that 
      tn =  a + (n -1) d
          =  3 + (n -1) (2)
          =  3 + (2 n - 2)
          =  1 + (2 n)
          =  (2 n) + 1
3) Answer: Here the nth term of an AP is  tn =  (2 n) + 1 

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