hiiiii frndss please... .
21 and 22.. please.. please
Answers
Question no.21
Let the numbers be ( a - d ) , a , ( a + d ).
Given,
⇒Sum of the terms = -3
⇒( a - d ) + a + ( a + d ) = -3
⇒a - d + a + a + d = -3
⇒3a = -3
⇒ a = ( -3 ) ÷3
•°• a = -1
Now,
⇒Product of numbers = 8
⇒ ( a - d ) ( a + d ) a = 8
Using identity,
⇒ ( x + y ) ( x - y ) = x² - y²
⇒ ( a² - d² ) a = 8
Substituting the value of ( a = -1 ),
⇒ [ ( -1 )² - d² ] ( -1 ) = 8
⇒ [ 1 - d² ] ( -1 ) = 8
⇒ -1 + d² = 8
⇒ d² = 8 + 1
⇒ d² = 9
⇒ d = √9
•°• d = 3
Now,
Numbers = ( a - d ) , ( a ) , ( a + d )
= [ ( -1 ) - 3 ] , ( -1 ) , [ ( -1 ) + 3 ]
= ( -1 - 3 ) , ( -1 ) , ( -1 + 3 )
= ( -4 ) , ( -1 ) , ( 2 )
Hence, the numbers are -4 , -1 and 2.
Question no.22
Given,
Ram Prasad saved Rs.10 in First week and his weekly saving is increased by Rs.2.75 , in nth week his savings became Rs.59.50.
So here,
It will form an A.P.
Where,
First term (a ) = Rs.10
Common difference ( d ) = Rs.2.75
nth term = Rs.59.50
Using formula,
⇒nth term = a + ( n - 1 )d
⇒ Rs. 59.50 = Rs. 10 + ( n - 1 ) Rs. 2.75
⇒ Rs. 59.50 = Rs. 10 + Rs.2.75n - Rs.2.75
⇒ Rs. 59.50 - Rs.10 + Rs.2.75 = Rs.2.75n
⇒ Rs. 62.25 - Rs. 10 = Rs. 2.75n
⇒ Rs. 52.25 = Rs. 2.75n
⇒Rs. 52.25 ÷ Rs. 2.75 = n
•°• n = 19
Hope it helps!!
Answer:
friend answer is 22 to hope it helps you