Math, asked by doctorsunidhi9755, 9 months ago

Find:
(i) 10th term of the A.P. 1,4,7,10,...
(ii) 18th term of the A.P. √2,3√2,5√2,...
(iii) nth term of the A.P. 13,8,3,-2,...
(iv) 10th term of the A.P. -40,-15,10,35,...
(v) 8th term of the A.P. 117,104,91,78,...
(vi) 11th term of the A.P. 10.0,10.5,11.0,11.5,..
(vii) 9th term of the A.P.3/4,5/4,7/4,9/4,...

Answers

Answered by reenagurrap4
2

Step-by-step explanation:

1) the number are added by 3

2)number before square root are odd number

3)the number are subtracted by 5

4)all number is added by 25

5)the number are subtracted by 13

6)the number are added by 0.5

7)odd number is divided by 4

Answered by dikshaverma4you
7

ARITHMETIC PROGRESSIONS

1.  A.P. = 1,4,7,10,...

   a = 1

   d = 4-1 = 3

   a10 = a + 9d = 1 + (9*3) = 1 + 27 = 28

2.  A.P. = √2,3√2,5√2,...

    a = √2

    d = 3√2 - √2 = 2√2

    a18 = a + 17d = √2 + (17*2√2) = √2 + 34√2 = 35√2

3.  A.P. = 13,8,3,-2,...

    a = 13

    d = - 5

    an = a + (n-1)d = 13 + (-5(n-1)) = 13 - 5n + 5 = 18 - 5n

4.  A.P. = -40,-15,10,35,...

    a = - 40

    d = -15 + 40 = 25

    a10 = a + 9d = - 40 + (9*25) = - 40 + 225 = 185

5. A.P. = 117,104,91,78,...

   a = 117

   d = 104 - 117 = - 13

   a8 = a + 7d = 117 + 7(-13) = 117 - 91 = 26

6. A.P. = 10.0,10.5,11.0,11.5,..

   a = 10.0

   d = 10.5 - 10.0 = 0.5

   a11 = a + 10d = 10 + (10*0.5) = 10 + 5 = 15

7.  A.P. = 3/4,5/4,7/4,9/4,...

    a = 3/4

    d = 5/4 - 3/4 = 2/4 = 1/2

    a9 = a + 8d = 3/4 + (8*1/2) = 3/4 + 4 = 19/4        

                 

Similar questions