consider an arithmetic sequence -74,-68,-62...... How many negative numbers are there in this sequence
Answers
Answer:
here d=6
so there will be approx 12 nos. and the 13th term will be 2
......
Answer:
13
Step-by-step explanation:
sequence =-74, -68, -62......
d=6
first term=-74
largest negative no. is -1.
We need to check wheather it is a term of this sequence.
-1-first term/d=-1-(-74)/6
=-1+74/6=73/6
=12.66...
so it is not a term
second largest negative no is -2.
check wheather it is a term.
-2-first term/d=-2-(-74)/6
=-2+74/6=72/6
=12
it is a term.
we got, x1=-74
xn=12
no.of terms=xn-x1/d+1
=-2-(-74)/6+1
=-2+74/6+1
=72/6+2=12+1=13
No.of negative numbers in this sequence =13
HOPES THAT IT WILL HELPS YOU☺️
(This is a common method. by writing the terms of the negative numbers, counting them we can also found the answer)