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Find the tenth term for the arithmetic progression 4,9,14,......,254

Sagot :

Chitranshkhudiyanidn

the tenth term of an ap is 49

Mrislam6910idn

Answer:

49

Step-by-step explanation:

Method 1:

4,9,14.......  has a common difference of of 5:

So, the first 10 numbers are 4,9,14,19,24,29,34,39,44,49.
So, the 10th number is 49

Method 2:

4,9,14.......  has a common difference of 5:
That is going to be the coefficient of n in the nth term
Let's see the difference between this sequence and [tex]5n[/tex]

Position     :     1   2     3    4

5n              :     5   10  15   20
Sequence :     4   9    14   19
Difference:      1    1     1      1

The nth terms going to be 5n-1

We should now put 10 instead of n

5(10)-1=50-1=49

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