``if Tn =2- 3 which term of sequence is.
(a) - 43
(b) - 82
(c) 91''.
In a sequence given by Tn = a + b bn the 6th and 13th terms are 22 and 71 respectively. Find the values of a and b.
Your first question makes no sense
your second:
Tn = a + bn
T6 = a + 6b = 22
T13 = a + 13b = 71
subtract them
7b = 49
b = 7
a+6b=22 ---> a + 42 = 49, a = 7
To find which term in the sequence corresponds to a given value, we need to determine the value of 'n', the position of the term in the sequence.
Given that T(n) = 2n - 3, we can set this equation equal to the given values and solve for 'n' for each case:
(a) T(n) = -43
-43 = 2n - 3
-40 = 2n
n = -20
(b) T(n) = -82
-82 = 2n - 3
-79 = 2n
n = -39.5
(c) T(n) = 91
91 = 2n - 3
94 = 2n
n = 47
Based on these calculations, the answers are:
(a) The value -43 does not correspond to any term in the sequence.
(b) The value -82 does not correspond to any term in the sequence.
(c) The value 91 corresponds to the 47th term in the sequence.