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Answers
Answer:
1-d,2-b,3-a,4-c
Step-by-step explanation:
1) a5=-9
a+4d=-9 ⇒⇒⇒⇒⇒⇒⇒eq 1
a9=7
a+8d=7⇒⇒⇒⇒⇒⇒⇒eq 2
Solving, equation 1 and 2
d = 4
a = -25
Finding a14
a+13d=-25+52=27
So, a14(14th term) is 27
4)First two digit number divisible by 3 = 12
Last two digit number divisible by 3 = 99
An arithmetic progression (A.P) is a progression in which the difference between two consecutive terms is constant.
A.P = 12,15,18,…,99
here
First term (a) = 12
Common difference (d) = 3
Let us consider there are n numbers then
an = 99
a + (n – 1)d = 99
12 + (n – 1)3 = 99
12 + 3n – 3 = 99
n = 29+1
n = 30
∴ Two digit numbers divisible by 3 = 30.
3)a10=44
a+9d=44 ⇒⇒⇒⇒⇒⇒eq1
a15=64
a+14d=64⇒⇒⇒⇒⇒eq 2
solving eq 1 and 2 then a=8
hope this will helpfull to you