t_(n)=a times(n-1)d

(a) In the formula t_(n)=[a+(n-1)d] , make 'n' as the subject. (b) find the value of n when t_(n)=92,a=1 and d=13 .

In the formula t_(n)=a(n-1)d , make n as the subject

In the formula t_(n)=(1)/(a+(n-1)d) , how many auxiliary formulae are possible ad what are they?

Find d for an A.P. if (i) t_(10) =20, t_(9) = 18 (ii) t_(n) = 7, t_(n-1) = 10

If t_(n)" is the " n^(th) term of an A.P. then the value of t_(n+1) -t_(n-1) is ……

Complete the following activity , to find the two-digit numbers which are divisible by 4. The two -digit numbers divisible by 4 are 12,16,20,…, 96. Here, a = 12, d= 4, t_(n)= 96 . t_(n) = a+ ( n -1)d …( Formula) :. square = 12 + ( n -1) xx square :. square = 12+ 4n -4 :. 4n = square :. n = 22

The Fibonacci sequence is defence by t_(1)=t_(2)=1,t_(n)=t_(n-1)+t_(n-2)(n>2). If t_(n+1)=kt_(n) then find the values of k for n=1,2,3 and 4.

Complete the following activity to find the natural numbers between 1 and171 which are divisibleby 5. The natural numbers between 1 and171 divisible by 5 are 5,10,15, …,170. Here, a = square, d = square, t_(n) = 170 t_(n) = a + ( n -1) d :. 170 = 5 + ( n -1) xx 5 :. 170 = square n = square

Write the next three terms of the following sequences: t_(1)=1,t_(n)=(t_(n-1))/(n),(n>=2)

Find the terms (s) indicated in each case: (i) t_(n)=t_(n-1)+3(ngt1),t_(1)=1,t_(4) (ii) T_(n)=(T_(n-1))/(T_(n-2)),(ngt2),T_(1)=1,T_(2)=2,T_(6)