Question

The 6th and 11th terms of an arithmetic sequence are 38 and 73. a) Find the first term. b) Write the algebraic expression of the sequence.

Answer 1

Ans

a)-17

b)tn=-17+(n-1)11

Step-by-step explanation:

Answer 2

6th term = 38

=> a + 5d = 38

=> a. = 38 - 5d ............eq.1

11th term = 73

=> a + 10d = 73

=> a. = 73 - 10d ...........eq.2

since equation 1 and equation 2 are equal

=> 38 - 5d = 73 - 10d

=> 5d = 35

=> d = 7

there from eq.1 a = 38 - 5x7 = 3

the first term is 3

algebric expression is

Tn = 3 + (n-1)7