Bissoy.com
Doctors Medicines MCQs Q&A

The 7th and 12th term of an arithmetic progression are -15 and 5 respectively. What is the 16th term?

The 7th and 12th term of an arithmetic progression are -15 and 5 respectively. What is the 16th term? Correct Answer 21

Let the first term of A.P. be a and let the difference be d

⇒ a + 6d = -15       ----(i)

⇒ a + 11d = 5       ----(ii)

Subtracting (i) from (ii)

⇒ 5d = 20

⇒ d = 4

Putting the value of d in (i)

⇒ a + 6 × 4 = -15

⇒ a = -15 - 24 = -39

So, 16th term = a + 15d = -39 + 15 × 4 = -39 + 60 = 21

Related Questions

The following question has three statements. Study the question and the statements and decide which of the statement (s) is/are necessary to answer the question. What is the first term of the arithmetic progression? I) The difference between the 16th term and 9th term of an arithmetic progression is 49. II) The average of 12 terms of an arithmetic progression is 40.5. III) The common difference is 5 more than the first term of the arithmetic progression.
In the following question, two statements are numbered as A and B. On solving these statements, we get quantities A and B respectively. Solve both quantities and choose the correct option. Quantity I: A sum of 45 terms of an Arithmetic progression is 5400. The ratio between the 11th term and 51st term is 3 : 13. Find the difference between the first term of progression and the common difference between the terms of progression. Quantity II: What should come to the place of ‘?’ in the following question: 234 + 35% of 920 – 4 / 5th of 110 = 7 / 9th of 378 + ? × 87
A company recruits candidates satisfying the following criteria -  1. Candidates who secured at least 85% in standard 10th or equivalent. 2. Candidates who secured at least 65% in standard 12th or equivalent. 3. Candidates who are not from commerce background. Who among the following candidates will the company definitely select? A. Jitesh is a science student having scored 70% in standard 12th and 80% in 10th with an excellent sports background. B. Jignesh scored 80% in standard 12th, 90% in standard 10th and secured 2nd place in his college among all commerce students. C. Jayesh scored 75% in standard 10th, 75% in standard 12th and is an arts student. D. Jinesh secured 80% in standard 12th, 88% in standard 10th and is a science student with great acting skills
In an arithmetic progression (AP), the 9th term is 5 times the 2nd term and the 8th term is 1 more than 10 times the first term. What is the 4th term of the geometric progression (GP) whose first term is the second term of AP and whose common ratio is equal to the common difference of AP?
The 7th and 12th term of an arithmetic progression are -15 and 5 respectively. What is the 16thterm?
The sum of fourth and twelfth term of an arithmetic progression is 20. What is the sum of the first fifteen terms of that arithmetic progression?
Choose the option which provides the correct information about the 12th Five Year Plan. A. Initially a growth target of 8% was kept by the 12th Five Year Plan. B. The government’s intention was to reduce poverty by 15% through the 12th Five Year Plan. C. One of the objectives of the 12th Five Year Plan was the creation of 50 million new work opportunities in the non-farm sector.
Six students of a school – Radha, Raj, Rahul, Mira, Aarav and Arijit are selected from different classes – 7th, 8th, 9th, 10th, 11th and 12th standards (not necessarily in the same order) to perform individually in the school annual function. Their order of performances is decided as per their classes. The one who is in 12th class will perform first, then after that 11th class student will perform and so on. Mira will perform immediate after the Rahul but before Arijit. Mira does not study in 8th class. Raj will perform immediate after Aarav but Raj neither studies in 8th class nor in 7th class. Who will perform last in the school annual function?
The 3rd and 9th term of an arithmetic progression are - 8 and 10 respectively. What is the 16th term?
The 3rd and 7th term of an arithmetic progression are -9 and 11 respectively. What is the 15th term?