Question

1) The Part of an arithmetic sequence is : ------ ,−1, −4, −7, −10 a)What is the common difference of this sequence? b)Write the algebraic form of this sequence, with-1 as the first term? c) Write 4 preceding terms. d) If -1 is the 50 th term, find the first term.

2)Algebraic form of an arithmetic sequence is 7n - 35
a)What is the common difference ? b)Write down the sequence. c) How many negative intigers are there? d) Find the first 2 digit positive intiger. e)What is the difference between 10 th term and 20 th term of this sequence? f) What should be subtracted from 17th term to get .​

Answer 1

Step-by-step explanation:

a) cd = -4 - (-1) = -3

b) algebraic form = 2 - 3n

c) 4 preceding terms = -13, -16, -19, -22

d) an = a + (n-1)d

-1 = a +(50-1)-3

-1 = a +49×-3

-1 = a -147

-1 + 147 = a

a=145