Question

Hi!!! Determine the AP whose 3rd term is 5 and 7th term is 9???

<> Don't give spam answers!!!!

Answer 1

LET THE A. P. HAS FIRST TERM a AND COMMON DIFFERENCE d.

NOW A.T.Q.

a3=5 (THIRD TERM OF AP)

a+2d=5 (AS nTH TERM OF AN AP IS a+(n-1)d ) EQUATION 1

SIMILAR;Y a7= 9

a+6d=9 (EQUATION 2)

ON SOLVING EQ. 1 NAD 2

WE GET

a= 3

d= 1

SO AP IS

3,4,5,6......

THUMBS UP PLZ..

HOPE THIS WILL HELP

Answer 2

Hey Mate :
~~~~~~~~

Here is your answer :
____________________________

Given,

3rd term = 5

a + 2d = 5 ------(1)

5th term = 9

a + 4d = 9 --------(2)

Solve eq - 1 & 2

a + 2d = 5
a + 4d = 9
--------------
-2d = - 4

2d = 4

d = 4/2

d = 2

Substitute d in eq - 1

a + 2d = 5

a + 2 (2) = 5

a + 4 = 5

a = 5 - 4

a = 1


2nd term = a+ d = 1 + 2 = 3

Therefore,

AP = 1 , 3, 5, 7, 9, .......




HOPE THIS HELPS U...