How do you find 37th term of the sequence {4, 7, 10, ....}?

2 Answers
Aug 2, 2018

Answer:

#112# is the 37th term

Explanation:

This is an arithmetic sequence

So, #T_n=a+(n-1)d#
where #a# is your first term, #n# is your nth term and #d# is the difference between 2 adjacent terms

Looking at the sequence,
#a=4#
#d=3#

Since you want to find the 37th term, then #n=37#

#T_n=a+(n-1)d#
#T_37=4+(37-1)3#
#T_37=4+36times3#
#T_37=112#

Aug 2, 2018

Answer:

#a_37=112#

Explanation:

#"these are the terms of an arithmetic sequence"#

#"the n th term of an arithmetic sequence is"#

#•color(white)(x)a_n=a_1+(n-1)d#

#"where "a_1" is the first term and d the common difference"#

#d=7-4=10-7=3" and "a_1=4#

#a_(37)=4+(36xx3)=4+108=112#