**Arithmetic sequence worksheet solution1 :**

Here we are going to see solution of each questions from the arithmetic sequence worksheet.

(1) The first term of an A.P is 6 and the common difference is 5. Find the A.P and its general term

**Solution :**

First term = 6

Common difference = 5

a = 6

d = 5

General form of A.P is a , a + d , a + 2 d , …………….

6 , (6 + 5) , (6 + 2(5)) , …………..

6 , 11 , (6 + 10) ,……………….

Hence the required arithmetic progression is 6, 11, 16 , …………..

(2) Find the common difference and 15 th term of an A.P 125 , 120 ,115 , 110 , ……….….

**Solution :**

First term = 125

a = 125

Common difference = t_{2}
– t_{1}

= 120 – 125

= -5

General term of an A.P

(t_{n})
= a + (n - 1) d

15th term of the A.P = 125 + (15 - 1) (-5)

= 125 + 14 (-5)

= 125 – 70

t₁₅ = 55

Hence, 15th term of A.P is 55

(3) Which term of the arithmetic sequence is 24, 23 ¼ ,22 ½, 21 ¾, ………. Is 3?

**Solution :**

First term = 24

a = 24

Common difference = t_{2}
– t_{1}

= 23 ¼ – 24

= (93/4) – 24

= (93-96)/4

d = -3/4

t_{n} = a + (n - 1) d

Let us consider 3 as nth term

t_{n} = 3

3 = 24 + (n-1) (-3/4)

3 – 24 = (n-1) (-3/4)

(-21 x 4)/(-3) = n -1

84/3 = n -1

28 = n – 1

28 + 1 = n

n = 29

Hence, 29^{th} term of
and A.P is 3.

(4) Find the 12th term of the A.P √2 , 3 √2 , 5 √2 , …………

**Solution :**

First term (a) = √2

Common difference (d) = 3 √2 - √2 = 2 √2

n = 12

General term of an A.P

t_{n} = a + (n - 1) d

t_{₁}_{₂} = √2 + (12 - 1) (2√2)

= √2 + 11 (2√2)

= √2 + 22 √2

= 23 √2

Hence, 12th of A.P is 23 √2

- Arithmetic progression worksheet
- Arithmetic series worksheet
- Special series
- Sequence
- Arithmetic progression
- Arithmetic series
- Geometric progression
- Geometric series

After having gone through the stuff, we hope that the students would have understood "Arithmetic sequence worksheet solution1"

Apart from the stuff given above, if you want to know more about "Arithmetic sequence worksheet solution1", please click here

Apart from the stuff given in this section, if you need any other stuff in math, please use our google custom search here.

Widget is loading comments...