The sixth term of an A.P is half of its twelfth term. The first term of the A.P is equal to

Assessment: JAMB UTME - Mathematics - 2001 Subject: General Mathematics

Question 1 Report

The sixth term of an A.P is half of its twelfth term. The first term of the A.P is equal to
Answer Details
Let's assume that the first term of the A.P is 'a', and the common difference is 'd'. We know that for an A.P, the nth term is given by: a + (n-1)d According to the problem, the sixth term is equal to half of the twelfth term. So, we can write: a + 5d = 1/2 (a + 11d) Multiplying both sides by 2 to eliminate the fraction: 2a + 10d = a + 11d Simplifying, we get: a = d Therefore, the first term of the A.P is equal to the common difference. So, the correct answer is "the common difference."
Read lesson note on Sequence And Series (WAEC)
View Answer

Related Questions

1

Evaluate ∫2(2x-3)2/3dx
2

Differentiate (2x+5)2(x-4) with respect to x.
3

A cylindrical tank has a capacity of 3080 m3. What is the depth of the tank if the diameter of its base is 14 m? (Take pi = 22/7)
4

The chord ST of a circle is equal to the radius, r, of the circle. Find the length of arc ST.
5

Find the locus of a point which moves such that its distance from the line y = 4 is a constant, k.
6

If the gradient of the curve y = 2kx2 + x + 1 at x = 1 is 9, find k.
7

P(-6, 1) and Q(6, 6) are the two ends of the diameter of a given circle. Calculate the radius.
8

The bearings of P and Q from a common point N are 020° and 300° respectively. If P and Q are also equidistant from N, find the bearing of P from Q.

Download The App On Google Playstore

Everything you need to excel in your exams

Green Bridge CBT Mobile App
Personalized AI Learning Chat Assistant
200,000+ Exam Questions Across IGCSE, JAMB, WAEC & NECO
Over 3,900 Lesson Notes
Offline Support - Learn Anytime, Anywhere
Green Bridge Timetable
Literature Summaries & Potential Questions
Track Your Performance & Progress
In-depth Explanations for Comprehensive Learning