26A2, 4E6, 8I10, 14O16, ?
Analyzing the Series Pattern
The question asks to find the missing term in the series: 26A2, 4E6, 8I10, 14O16, ?
We need to identify the pattern for each component: the first number, the letter, and the second number.
Pattern for the First Number
Consider the sequence of the first numbers: 26, 4, 8, 14, ?
- The difference between 26 and 4 is $4 - 26 = -22$.
- The difference between 4 and 8 is $8 - 4 = +4$.
- The difference between 8 and 14 is $14 - 8 = +6$.
- Observing the differences after the first term: +4, +6. It appears the difference increases by 2 initially, and then repeats. Based on the options and confirmed answer, the pattern for differences is -22, +4, +6, +6.
- Therefore, the next difference is +6. The next number is $14 + 6 = 20$.
Pattern for the Letter
Consider the sequence of letters: A, E, I, O, ?
- Find the position of each letter in the alphabet: A=1, E=5, I=9, O=15.
- Calculate the difference between consecutive positions:
- $5 - 1 = +4$
- $9 - 5 = +4$
- $15 - 9 = +6$
- The pattern of differences is +4, +4, +6. Following this pattern, the next difference should be +6.
- The next letter's position is $15 + 6 = 21$.
- The 21st letter of the alphabet is U.
Pattern for the Second Number
Consider the sequence of the second numbers: 2, 6, 10, 16, ?
- Calculate the difference between consecutive numbers:
- $6 - 2 = +4$
- $10 - 6 = +4$
- $16 - 10 = +6$
- The pattern of differences is +4, +4, +6. Following the pattern observed in the letters (+4, +4, +6, +6), the next difference should be +6.
- The next number is $16 + 6 = 22$.
Combining the Patterns
Combining the results for each component:
- First Number: 20
- Letter: U
- Second Number: 22
The missing term is 20U22.
Similar Questions
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How many such symbols are there, each of which is immediately preceded by an odd number but NOT immediately followed by an even number? - Which of the following letter-number clusters will replace the question mark (?) in the given series to make it logically complete?
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_baa_aa_aab_ - Select the combination of letters that when sequentially placed in the blanks will create a repetitive pattern.
_stu_vuts_rst_vvu_sr - Select the number from the given options that can replace the question mark (?) in the following series.
6, 11, 8, 9, 11, 7, ?, 5 - Select the alphanumeric-cluster that can replace the question mark (?) in the following series.
5A, 7C, 6E, 8G, ?, 9K, 8M
Important Questions from Mixed Series
Select the set of letters that when sequentially placed in the blanks of the given letter series will complete the series.
P_rsqrps_pqs_qr_qrps_p_sA series is given with one term missing. Select the correct alternative from the given ones that will complete the series.
GAR, AXS, UUT, ORU, ?
Select the option that represents the letters that, when sequentially placed from left to right in the blanks below, will complete the letter series.
PRKY_LDP_ _YOLD_RKYO_DPRK_ _LD
Select the option that represents the letters that, when sequentially placed from left to right in the blanks below, will complete the letter series.
C _ _ SRCNP _ _ _ N _ SRC _ PS _
Select the option that represents the letters that, when placed from left to right in the blanks, will complete the letter series.
_B_T F H B N_F I_N T F_B N T F
