If the 1 st and the 3 rd term of an arithmetic progression are -10 and -4, what is the 12 th term?
23
Step 1 — Common difference: Since \(a_3=a_1+2d\), \(-4=-10+2d \Rightarrow d=3\).
Step 2 — 12th term:
\[a_{12}=a_1+11d=-10+11(3)=-10+33=23\]
Therefore the 12th term is 23.
Similar Questions
- The average of eleven consecutive positive integers is d. If the last two numbers are excluded, by how much will the average increase or decrease?
If \(\frac{{45}}{{53}} = \frac{1}{{a + \frac{1}{{b + \frac{1}{{c - \frac{2}{5}}}}}}},\) where a, b and c are positive integers, then what is the value of (4a - b + 3c)
The denominator of a fraction is 4 more than the double of its numerator. When 3 is added to the numerator and 3 is subtracted from denominator the fraction becomes 2/3. Then find the difference between denominator and numerator of the original fration.
Let 0 < x < 1. Then the correct inequality is:
Select the correct option:
Convert decimal 99 to binary.The 3rd and 6th term of an arithmetic progression are 13 and -5 respectively. What is the 11th term?
If the 3 rd and the 5 th term of an arithmetic progression are 13 and 21, what is the 13 th term?
Product of three consecutive odd numbers is 1287. What is the largest of the three numbers?
How many numbers are there between 1 to 200 which are divisible by 3 but not by 7?
What is the remainder when 2468 is divided by 37?
Important Questions from Integers
How many three digit whole numbers are there between 75 and 405?
Find the number of integers between $1$ and $150$ (inclusive) having $7$ as one of the digits but which are not divisible by $7$.
Integers are listed from 700 to 1000. In how many integers is the sum of the digits 10 ?
Using 2, 2, 3, 3, 3 as digits, how many distinct numbers greater than 30000 can be formed ?
Consider the following statements :
1. The sum of 5 consecutive integers can be 100.
2 The product of three consecutive natural numbers can be equal to their sum.
Which of the above statements is/are correct ?
