OCR MEI Paper 2 2022 June — Question 2 2 marks

Exam BoardOCR MEI
ModulePaper 2 (Paper 2)
Year2022
SessionJune
Marks2
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicGeometric Sequences and Series
TypeFind sum to infinity
DifficultyEasy -1.2 This is a straightforward infinite geometric series question requiring only recognition of the common ratio (r = 0.5) and application of the standard formula S = a/(1-r). It's a direct, single-step calculation with no problem-solving or conceptual challenge beyond basic recall.
Spec1.04j Sum to infinity: convergent geometric series |r|<1

Find the sum of the infinite series \(50 + 25 + 12.5 + 6.25 + \ldots\). [2]

Question 2:
AnswerMarks
250
soi
1−0.5
AnswerMarks
100M1
A11.1
1.1
[2]
M1
for equating coefficients
Question 2:
2 | 50
soi
1−0.5
100 | M1
A1 | 1.1
1.1
[2]
M1
for equating coefficients
Find the sum of the infinite series $50 + 25 + 12.5 + 6.25 + \ldots$. [2]

\hfill \mbox{\textit{OCR MEI Paper 2 2022 Q2 [2]}}