Math Problem Statement

This is a mathematics worksheet with multiple-choice questions focusing on number patterns, sequences, series, and configurations of objects. Examples include finding the next number in a sequence, working with Fibonacci numbers, and arithmetic progression.

Solution

You've uploaded a math worksheet titled "ULANGAN HARIAN MATEMATIKA" on patterns, number configurations, sequences, and series. It includes 17 multiple-choice questions. I'll go through the questions one by one to provide assistance:

  1. Find the next number in the sequence:
    3,4,7,11,18,29,3, 4, 7, 11, 18, 29, \dots

  2. Find the next two numbers in the sequence:
    3,5,8,12,3, 5, 8, 12, \dots

  3. Sum of two values in the sequence p,qp, q given 1, 3, 6, 10.

  4. Find the nthn^{th} Fibonacci number in the sequence a,b,7,12,19.a, b, 7, 12, 19.

  5. Equation involving the sum of binomial coefficients: (x+y)7=ax7+bx6y+cx5y2+(x+y)^7 = ax^7 + bx^6y + cx^5y^2 + \dots

  6. Find the number in position 2019 in the repeating sequence 250270250270...

  7. Find the digit in the first position of the repeating sequence 0, 201920192019...

  8. Find the number of times the digit 2 appears up to the 104th digit in:
    24423244232444232442324423244423\dots

  9. Find how many digits occur after the decimal in the sequence:
    0,1234543211234543210, 123454321123454321\dots

  10. Day after 400 days from Wednesday.

  11. Find the units digit of 7777777^7.

  12. Pattern analysis with matchsticks forming squares.

  13. Sum of terms in an arithmetic progression, where U1=2n(n1)U_1 = 2n(n-1), and find U6U4U_6 - U_4.

  14. Determine the number of handshakes in a group of 8 people.

  15. Count the number of ways to read the word "RELASI" from a pyramid shape.

  16. **Find the 17th term in the sequence 98, 92, 86,

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Math Problem Analysis

Mathematical Concepts

Number Patterns
Sequences and Series
Fibonacci Sequence
Arithmetic Progression
Binomial Expansion
Modular Arithmetic
Geometric Configurations

Formulas

Fibonacci sequence formula: F(n) = F(n-1) + F(n-2)
Sum of arithmetic series: S_n = (n/2) * (a + l)
Binomial expansion: (x + y)^n

Theorems

Modular arithmetic properties for powers
Arithmetic progression theorem

Suitable Grade Level

Grades 10-12