Question

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Answer 1

Answer:

Q.1)Find the 20th term from the last term of the AP: ans of this part

Answer 2

Step-by-step explanation:

Q 3) given A3 = 16 and A7 = A5 + 12

A3 => a + 2d = 16-----------1

A7 = a + 6d and A5 = a + 4d

a+6d = a+4d+12

=> 6d-4d= 12

=> 2d = 12

=> d = 6

putting value of d = 6 in equation 1, we get

a + 2*6 = 16

=> a = 16-12

=> a = 4

therefore the A.P is a , a+ d, a+2d, -----

=> 4, 10, 16, 22,----------

Q2) given A4+A8 = 24. and A6+A10 = 44

=> a+3d+a+7d = 24

=> 2a + 10d = 24

or => a + 5d = 12----------------------1

similarly a+5d+a+9d = 44

=> 2a + 14d = 44

or a + 7d = 22--------------------------2

on subtracting EQ 2 from eq 1, we get

- 2d = -10

=> d = 5

now substituting value of d = 5 in EQ 1, we get

a + 5*5 = 12

=> a = 12 - 25

=> a = -13

therefore the A.P is

-13, -8, -3, 2, 7, -------------