Which term in the sequences will be the

ordanlarroque1xm

ordanlarroque1xm

Answered question

2022-03-14

Which term in the sequences will be the first greater than 250
a) 9,13,17,21,.
b) 2,10,18,26,.
c) 1,7,13,19,.

Answer & Explanation

Misurina6am

Misurina6am

Beginner2022-03-15Added 3 answers

a) 9,13,17,21,.
a=9, d=4
an=a+(n1)d
an=a+(n1)4
=a+4n4
=4n+5
Now, put an=250
4n+5=250
4n=245
n=61.25
Put n=62 in the equation
a62=4×62+5
a62=253, it is greater that 250
b) 2,10,18,26,.
a=2, d=8
an=a+(n1)d
an=2+(n1)8
=2+8n8
=8n6
Put an=250
8n6=250
8n=256
n=32
Now, put n=32 in the equation
a32=8×326=250 it is equal to 250, thus, try to put n=33
a33=8×336
=258 it is greater than 250
Ettrapinithr

Ettrapinithr

Beginner2022-03-16Added 7 answers

3. 1,7,13,19,.
Given: a=1, d=6
Standart formula an=a+(n1)d
Thus, an=1+(n1)6=1+6n6=6n5
an=6n5 (1)
Put an=250
6n5=250
6n=255
n=42.5
Put n=43 in the equation (1)
a43=6×435
a43=253, which is greater that 250. Hope that helps

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