# Sequence and Series

## 1.2 Arithmetic sequence and series

Calculator Allowed: No Question Answer Transcription of this question: 3.[Maximum mark: 6]Consider the arithmetic sequence 2, 5, 8, 11, .(a)(b)FindFind the value of n so that u n —152[3 marks][3 marks]

## 1.2 Arithmetic sequence and series

Calculator Allowed: No Question Answer Transcription of this question: 2.[Maximum mark: 7]In an arithmetic sequence, the third term is 10 and the fifth term is 16.(a)(b)(c)Find the common difference.Find the first term.Find the sum Of the first 20 terms Of the sequence.[31

## 1.2 Arithmetic sequence and series

Calculator Allowed: No Question Answer Transcription of this question: [Maximum mark: 6]Consider the following sequence of figures.Figure 1Figure 2Figure 3Figure 1 contains 5 line segments.(a)(b)Given that Figure n contains 801 line segments, show that nFind the total number of line segments in the first 200 figures.-200.

## 1.2 Arithmetic sequence and series

Calculator Allowed: No Question Answer Transcription of this question: [Maximum mark: 8]An arithmetic sequence has u, = logc(p) and loge(pq), where c > 1 and p, q > O.(a) Show that d = loge (q).(b) Let p = c: and q = Find the value of Yun[61

## 1.2 Arithmetic sequence and series

Calculator Allowed: Yes Question Answer Transcription of this question: [Maximum mark: 8]Let f (x) = e, for x > O.The kth maximum point on the graph of f has x-coordinate x, where keZ+.(a) Given that — a, find a.(b) Hence find the value of n such that = 861 .

## 1.2 Arithmetic sequence and series

Calculator Allowed: Yes Question Answer Transcription of this question: [Maximum mark: 6](i) Find the sum Of all integers, between 10 and 200, which are divisible by 7.(ii) Express the above sum using sigma notation.An arithmetic sequence has first term 1000 and common difference Of —6.first n terms of this sequence is negative.(b) Find the least […]

## 1.2 Arithmetic sequence and series

Calculator Allowed: No Question Answer Transcription of this question: [Maximum mark: 6]In an arithmetic sequence, = 5 and ug-11.(a)(b)(c)Find the common difference.Find the first term.Find the sum of the first 20 terms.

## 1.2 Arithmetic sequence and series

Calculator Allowed: Yes Question Answer Transcription of this question: [Maximum mark: 6]In an arithmetic sequence = 8 , = 6.5 .(a)(b)(c)Write down the value of the common difference.Find the first term.Find the sum of the first 50 terms of the sequence.

## 1.2 Arithmetic sequence and series

Calculator Allowed: No Question Answer Transcription of this question: 5.[Maximum mark: 61The mean Of the first ten terms Of an arithmetic sequence is 6. The mean Of the firsttwenty terms Of the arithmetic sequence is 16. Find the value Of the 15dt term Ofthe sequence.

## 1.2 Arithmetic sequence and series

Calculator Allowed: Yes Question Answer Transcription of this question: [Maximum mark: 71The sum Of the first 16 terms Of an arithmetic sequence is 212 and the fifth term is 8.(a)(b)Find the first term and the common difference.Find the smallest value Of n such that the sum Of the first n terms is greaterthan 600.[4 marks][3 […]