ARITHMETIC PROGRESSIONS

Gap-fill exercise

  
Fill in all the gaps, then press "Check" to check your answers. Use the "Hint" button to get a free letter if an answer is giving you trouble. You can also click on the "[?]" button to get a clue. Note that you will lose points if you ask for hints or clues!
Each of the numbers in the list is called a .

An is a list of numbers in which each term is obtained by adding a fixed number to the preceding term except the first term.

The is called the common difference of the AP.

If there are only a finite number of terms.Such an AP is called a

If there are not finite number of terms.Such an AP is called a AP.

term an = a + (n – 1) d.

The term a4 = a + 3d.

The term a2 = a + d

The term a3 = a + 2d .

The 10th term of the AP : 2, 7, 12, . . . is .

The sum of integers is given by S= [n(n+1)]/2

The of an AP is a, a + d, a + 2d, a + 3d, . .

11th term from the last term (towards the first term) of the AP : 10, 7, 4, . . ., is

20th term of the AP: 10, 7, 4, . . . , is .

The sum of the first 22 terms of the AP : 8, 3, –2, . . . is -.



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